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Prof. Vijay Gupta
Professor and HOD
Qualification
M.Sc., M. Phil., Ph. D.
Email
vijaygupta2001@hotmail.com

Bio-sketch

Dr. Vijay Gupta is Professor and Head of Mathematics Department. Earlier also, he worked as head Department of Mathematics, NSIT (now Netaji Subhas University of Technology), New Delhi during Dec. 2013-Feb 2018. A Ph.D from University of Roorkee (now IIT Roorkee). His area of research interest is Approximation Theory, especially he works on linear positive operators. He is the author/co-author of six books, sixteen book chapters and over 360 research papers. He is also actively involved in editing several international scientific research journals, also he edited several books. The present h-index (as per google scholar) is 47. Special journal issues dedicated to Prof. Vijay Gupta:

(i) Mathematical Foundation of Computing https://www.aimsciences.org/mfc/article/2023/6/3

(ii) General Mathematics https://generalmathematics.ro/volume-30-no-2-2022/


Area of Research: Approximation Theory
Scopus Author ID: 57200400095
ORCID ID: http://orcid.org/0000-0002-5768-5763
Web of Science Researcher ID A-6095-2008

My Erdos Distance: 3: Vijay Gupta-Ulrich Abel-Walter A Deuber- Paul Erdos

Mathematical Review Author ID: 241457
ZbMath: 10874
VIDWAN ID: 13353

 

 

 

 

 

 

Publications (Click to expand)
List of Publications
i) Papers Published/Accepted in Journals: 370
ii) Books: 6
iii) Edited Books: 4
iv) Open Problems: 6
v) Full Papers Published in Proceedings: 14
vi) Book Chapters: 17

i) Papers Published/Accepted in Journals

1.  M. Saleem, S.  U. Siddiqui  and Vijay Gupta, A mathematical model with young predation, J. Math. Biology 25 (1987), 89-101.ISSN: 0303-6812, IF 1.846

2. P. N. Agrawal, Vijay Gupta and A. Sahai,On convergence of derivatives of linear combinations of modified Lupas operators, Publ. Inst. Math. (Beograd) 45 (59) (1989), 147-154.ISSN 035 1302

3. Vijay Gupta andP. N. Agrawal, On linear combination of Phillips operators, Indian Acad. Math. 11(2) (1989), 106-114.

4. T. A. K. Sinha, P. N. Agrawal, A. Sahaiand Vijay Gupta, Improved Lp approximation by linear combination of modified Lupas operators, Bull. Inst. Math. AcadSinica17 (3) (1989), 106-114.ISSN 2304 7909

5. P. N. Agrawal and Vijay Gupta, Simultaneous approximation by linear combination of modified Bernstein polynomials, Bull Greek Math. Soc. 39 (1989), 29-43.ISSN 0072-7466

6 Vijay Gupta, P. N. Agrawal, A. Sahaiand T. A. K. Sinha, Lp-approximation by combination of modified Szasz-Mirakyanoperators,Demonstratio Math. 23 (3) (1990), 577-591.ISSN 0420-1213

7. P. N. Agrawal and Vijay Gupta, On the iterative combination of Phillips operators, Bull. Inst. Math. AcadSinica18 (4) (1990), 361-368.ISSN 2304 7909

8.  Vijay Gupta and P. N. Agrawal, An estimate of the rate of convergence for modified Szasz-Mirakyan operators of functions of bounded variation, Publ. Inst. Math. (Beograd) 49 (63) (1991), 97-103.ISSN 035 1302

9.  R.P. Sinha, P. N. Agrawal, and Vijay Gupta,On simultaneous approximation by modified Baskakov operators, Bull. Soc. Math. Belg. Ser. B 43 (2) (1991), 217-231.ISSN 0037-9476

10.  H. S. Kasana, P. N. Agrawal and Vijay Gupta, Inverse and saturation theorems for linear combination of modified Baskakov operators, Approx Theory and its Appl. 7 (2) (1991), 65-81.ISSN 1672-4070

11. P. N. Agrawal and Vijay Gupta, A saturation theorem for linear combinations of Bernstein Durrmeyer polynomials, Ann Polonici  Math. LVII (2)  (1992), 157-164.ISSN 0066-2216

12. Vijay Gupta and P. N. Agrawal, Lp-approximation by iterative combination of Phillips operators, Publ. Inst. Math. (Beograd) 52 (66) (1992), 101-109.ISSN 035 1302

13. Vijay Gupta and Ashok Sahai, On linear combination of Phillips operators, Soochow J. Math. 19 (3) (1993), 313-323.ISSN 0250-3255

14.  Vijay Gupta, A note on modified Szaszoperators,Bull Inst. Math. AcadSinica21 (3) (1993), 275-278.ISSN 2304 7909

15.  Vijay Gupta and G. S. Srivastava, Simultaneous approximation by Baskakov-Szasz type operators, Bull. Math.de la  Soc. Sci. de Roumanie (N. S.) 37 (85)(3-4) (1993), 73-85.ISSN 1220-3874

16. P. N. Agrawal and Vijay Gupta, On convergence of derivatives of Phillips operators, Demonstratio Math. 27 (2) (1994), 501-510.ISSN 0420-1213

17. Vijay Gupta, A note on modified Baskakov type operators, Approx Theory and its Appl. 10 (3) (1994), 74-78.ISSN 1672-4070

18. P. N. Agrawal and Vijay Gupta, Inverse theorem for linear combinations of modified Bernstein polynomials, Pure and Applied Math Sci. 40 (1995), 29-38.ISSN 0379-3168

19. Vijay Gupta, G. S. Srivastava and T. A. K. Sinha, Inverse theorem in Lp-approximation by modified Szasz-Mirakyan operators, Demonstratio Math. 28 (2) (1995), 285-292.ISSN 0420-1213

20. Vijay Gupta and G. S. Srivastava, Inverse theorem for SzaszDurrmeyer operators, Bull. Inst. Math. AcadSinica23 (2) (1995), 141-150.ISSN 2304 7909

21. Vijay Gupta, G. S. Srivastava and A. Sahai, On simultaneous approximation by Szasz Beta operators, Soochow J. Math. 21 (1) (1995), 1-11.ISSN 0250-3255

22. Vijay Gupta, Approximation by SzaszDurrmeyer operators, Ganita46 (2) (1995), 65-72.ISSN 0046-5402

23. Vijay Gupta and G. S. Srivastava,Convergence of derivatives by summation-integral type operators, RevistaColombiana de Mate. 29 (1) (1995), 1-11.ISSN 0034-7426

24. Vijay Gupta, Global approximation by modified Baskakov type operators, Publ. Math. 39 (2) (1995), 263-271.

25. Vijay Gupta and A. Ahmad, Simultaneous approximation by modified Beta operators, Istanbul Universitesi Fen Fakultesi Mat Dergsi54 (1995), 11-22.

26. Vijay Gupta, A sharp estimate on the degree of approximation to functions of bounded variation by certain operators, Approx. Theory and its Appl. 11:3(1995), 106-107.ISSN 1672-4070

27. Vijay Gupta, Simultaneous approximation by Szasz-Durrmeyer operators, The Math. Student 64, 1-4 (1995), 27-36.ISSN 0025-5742

28. Vijay Gupta and A. Ahmad, An improved estimate on the degree of approximation to function of bounded variation by certain operators, RevistaColombiana de Mate. 29 (2) (1995), 119-126.ISSN 0034-7426

29. Vijay Gupta and G. S. Srivastava, On convergence of derivatives by Szasz-Mirakyan-Baskakov type operators, The Math Student 64 (1-4) (1995), 195-205.ISSN 0025-5742

30. Vijay Gupta, Rate of convergence by Baskakov Beta operators, Mathematica 37 (60) (1-2) (1995), 109-117.ISSN 1222-9016

31. Vijay Gupta and G. S. Srivastava, Saturation theorem for SzaszDurrmeyer operators, Demonstratio Math. 29 (1) (1996), 7-16.ISSN 0420-1213

32. Vijay Gupta and G. S. Srivastava, An estimate on the rate of convergence of modified Baskakov operators for functions of bounded variation, Kyungpook Math. J. 36 (1996), 237-247.ISSN 1225-6951

33. Vijay Gupta, On the rate of pointwise convergence of modified Baskakov operators, Soochow Math. J. 22 (4) (1996), 543-552.ISSN 0066-2216

34. Vijay Gupta and G. S. Srivastava, Approximation by Durrmeyer type operators, Ann.  Polonici Math. LXIV, 2 (1996), 153-159.ISSN 0066-2216

35. Vijay Gupta and Paulina PychTaberska, On the rate of point wise convergence of modified Baskakov operators, Functions et ApproximatioXXIV (1996), 59-67.ISSN 0208-6573

36.  Vijay Gupta, A note on modified Bernstein polynomials, Pure and Applied Math Sci.  44  (1-2) (1996), 1-3.ISSN 0379-3168

37. Vijay Gupta and G. S. Srivastava, On the rate of convergence of Phillips operators for functions of bounded variation, Commentation Math. XXXVI (1996), 123-130.

38. Vijay Gupta and P. N. Agrawal, Inverse theorem in simultaneous approximation by SzaszDurrmeyer operators, J. Indian Math. Soc. 63(1-4) (1997), 99-113.ISSN 0019-5839

39. Vijay Gupta and G. S. Srivastava, On simultaneous approximation by combinations of Baskakov-Szasz type operators, Fasciculi Mate. 27(1997), 29-42.ISSN 0044-4413

40.Vijay Gupta and D. Kumar,  Rate of convergencefor  modified Baskakov operators, Demonstratio Math XXX (2) (1997), 339-346.ISSN 0420-1213

41.Vijay Gupta and G. S. Srivastava, Saturation theorem in Lp-approximation by combinations of modified Szasz-Mirakyan operators, Demonstratio Math. 30 (3)(1997),573-578.ISSN 0420-1213

42. Vijay Gupta, A note on the rate of convergence of Durrmeyer operators for functions of bounded variation, Soochow J. Math. 23 (1)(1997), 117-120.ISSN 0250-3255

43. Vijay Gupta and K. V. Arya, On the rate of point wise convergence of modified Baskakov type operators for functions of bounded variation, Kyungpook Math. J. 38 (2) (1998), 307-315.ISSN 1225-6951

44. G. S. Srivastava and Vijay Gupta, Converse theorem for modified Baskakov type operators, Istanbul Universitesi Fen Fakultesi Mat Dergsi57-58 (1998-1999), 63-69.

45. Vijay Gupta and Prabhakar Gupta, Rate of convergence by Szasz-MirakyanBaskakov type operators, Istanbul Universitesi Fen Fakultesi Mat. Dergisi57-58 (1998-1999), 71-78.

46. Vijay Gupta and D. Kumar, On approximation by Lagrange’s interpolation polynomials, Pan American Math. J. 9 (4) (1999), 69-82.

47. Vijay Gupta and R. P. Pant, Rate of convergence of the modified Szasz-Mirakyan operators on functions of bounded variation, J. Mathematical Analysis and Applications 233 (1999), 476-483. ISSN 0022-247X IF 1.204

48. Vijay Gupta, Prabhakar Gupta and Marc Rogalski, Improved rate of convergence for the modified Szasz-Mirakyan operators, Approx. Theory and its Appl. 16:3(2000), 94-99.ISSN 1672-4070

49.Prabhakar Gupta and Vijay Gupta, Rate of convergence on Baskakov-Szasz type operators, Fasciculi Mate. 31 (2001), 37-44.ISSN 0044-4413

50. Vijay Gupta and Prabhakar Gupta, Direct theorem in simultaneous approximation for  Szasz-MirakyanBaskakov type operators, Kyungpook Math. J. 41 (2) (2001), 243-249.ISSN 1225-6951

51. R. P. Pant, P.C. Joshi andVijay Gupta, A Meir Keeler type fixed point theorem, Indian J. Pure and Appl. Math.32(6) (2001), 779-787.ISSN 0019-5588 IF 0.224

52. Vijay Gupta and Prabhakar Gupta, Rate of convergence for the Baskakov-Durrmeyer type operators, Ganita52 (1) (2001), 69-77.ISSN 0046-5402

53. Vijay Gupta, Prabhakar Gupta and P. N. Agrawal, Saturation theorem in simultaneous approximation by SzaszDurrmeyer, J. Indian Math. Soc. 69 ,(1-4) (2002), 65-69.ISSN 0019-5839

54.   Vijay Gupta, On a new type of Meyer Konig and Zeller operators, J. Inequal. Pure Applied Math. 3 (4) (2002) Art. 57. ISSN 1443-5756

55. Vijay Gupta, A note on Meyer Konig and Zeller operators for functions of bounded variation, Approx. Theory and its Appl. 18 (3) (2002), 99-102.ISSN 1672-4070

56. Vijay Gupta, Rate of convergence on Baskakov Beta Bezier operators for functions of bounded variation, Int.  J.  Math. and  Math. Sci. 32 (8) (2002), 471-479.

57. Vijay Gupta, Inequality estimate on Durrmeyer type operators, J. Nonlinear Functional Analysis and Applications, 7 (4) (2002), 481-494.

58. X. M. Zeng andVijay Gupta, Rate of convergence of Baskakov-Bézier type operators for locally bounded functions, Comput. Math. Appl.44 (10-11) (2002), 1445-1453. (Elsevier Science Publ.).

59. Vijay Gupta, V. Vasishtha and M. K. Gupta, Rate of convergence of the Szasz-Kantorovitch-Bezier operators, Publications de l' Inst. Math. 72(86) (2002), 137-143.

60.  Ulrich Abel, Vijay Gupta and M. Ivan, On the rate of convergence of bounded variation functions by Baskakov-Kantorovitch-Bezier operators, Revue D’Anal. Numeriqueet de Theorie de L’ Approximation 31(2) (2002), 123-133.

61. Ulrich Abel andVijay Gupta, An estimate of the rate of convergence of a Bézier variant of the Baskakov-Kantorovich operators for bounded variation functions, Demons. Math. 36(1) (2003), 123-136.ISSN 0420-1213

62.UlrichAbel,Vijay Gupta and M. Ivan, On the rate of convergence of a Durrmeyer variant of Meyer Konig and Zeller operators, ArchievesInequal. Appl. 1(2003), 1-9.

63. Vijay Gupta, PrernaMaheshwari and V. K. Jain, Lp Inverse theorem for modified Beta operators, Int. J. Math. Math. Sci. 33 (20) (2003), 1395-1403.

64. Vijay Gupta and Niraj Kumar, A note on the integral modification of the Meyer Konig and Zeller operators, Int.  J. Math. and  Math. Sci. 2003:31 (2003), 2003-2009.

65. H. M. Srivastava and Vijay Gupta, A certain family of summation integral type operators, Math and Comput. Modelling 37 (2003), 1307-1315.

66. Vijay Gupta, Rate of approximation by new sequence of linear positive operators, Comput. Math. Appl. 45(12) (2003), 1895-1904.

67. Vijay Gupta, V. Vasishtha and M. K. Gupta, Rate of convergence of summation-integral type operators with derivatives of bounded variation, J Inequqlities in Pure and Applied Mathematics 4(2) (2003), Art.34.ISSN 1443-5756

68. Vijay Gupta and Ulrich Abel, On the rate of convergence of Bezier variant of Szasz-Durrmeyer operators, Analysis in Theory and Applications 19:1 (2003), 81-88.ISSN 1672-4070

69. Vijay Gupta and PrernaMaheshwari, ,Bezier variant of a new Durrmeyer type operators, Rivista di MatematicadellaUniversità di Parma" volume 7 (2) (2003), 9-21.

70. Vijay Gupta, PrernaMaheshwari and V. K. Jain, On the linear combinations of modified Beta operators, Pure and Applied Math Sci. 48 (2003),

71. Vijay Gupta and PrernaMaheshwari, On BaskakovSzasz type operators, Kyungpook Math. J. 43(3)  (2003), 315-325.

72. PrernaMaheshwari and Vijay Gupta, An estimate on the rate of convergence for modified Beta operators, Indian J. Pure and Appl. Math. 34(2003). ISSN 0019-5588 IF 0.224

73. Vijay Gupta, V. Vasishtha and M. K. Gupta, An estimate on the rate of convergence of Bezier type summation integral operators, Kyungpook Math. J. 43 (2003), 345-354.

74. Vijay Gupta, M. K. Gupta and V. Vasishtha, Simultaneous approximation by summation integral type operators, J. Nonlinear Functional Analysis and Applications, 8(3) (2003), 399-412.

75. Ulrich Abel, Vijay Gupta and Mircea Ivan, The complete asymptotic expansion for  BaskakovSzaszDurrmeyer operators, AnnalsTiberiuPopoviciu Itinerant Seminar of Functional Equations, Approximation and Convexity, ISSN 1584-4536, Vol. 1 (2003) 3-15.

76. Vijay Gupta, Degree of approximation to function of bounded variation by Bezier variant of MKZ operators, J. Mathematical Analysis and Applications. 289 (1) (2004), 292-300.ISSN 0022-247X IF 1.204

77.  Vijay Gupta, Rate of convergence by Bezier variant of Phillips operators, Taiwanese J. Math.8 (2) (2004), 183-190.

78. Vijay Gupta, The Bezier variant of Kantorovitchoperators,Comput. Math. Appl. 47 2/3 (2004), 227-232. (Elsevier Science Publ.).

79. Vijay Guptaand Ulrich Abel, Rate of convergence of bounded variation function by a Bezier Durrmeyer variant of Baskakov operators, International J. Math and Math Sci.2004 (9)(2004), 459-468.

80.Vijay Gupta and M. K. Gupta, Rate of convergence for certain family of summation integral type operators, J. Math. Anal. Appl. 296 2 (2004), 608-618. ISSN 0022-247X IF 1.204

81. Vijay Gupta, Rate of convergence of Baskakov-Beta Bezier operators for locally bounded functions, Turkish J. Math.28 (3) (2004), 271-280.

82. U. Abel and V. Gupta, Rate of convergence of Stancu beta operators for functions   of  bounded variation, Revue D’Anal. Numeriqueet de Theorie de L’ Approximation 33(1) (2004), 3-9.

83. Vijay Gupta and Ulrich Abel, The rate of convergence by a new type of Meyer Konig and Zeller operators, Fasciculi Math. 34 (2004), 15-23.

84. Ulrich Abel, Vijay Gupta and M. Ivan, The complete asymptotic expansion for general Durrmeyer variant of Meyer Konig and Zeller operators,  Mathematical and Computer Modelling 40 (2004), 867-875.(Elsevier Science Publ.).

85.Vijay Gupta and N. Ispir, On simultaneous approximation for some Bernstein type operators, International J. Math and Math Sci.2004 (71)(2004), 3951-3958.

86. Vijay Gupta and AlexandruLupas, On the rate of approximation for the Bezier variant of Kantorovich-Balasz operators, General Mathematics, 12 (3) (2004), 3-18.

87. Jesus de la Cal and Vijay Gupta, On the approximation of locally bounded functions by operators of BliemannButzer and Hahn, J. Inequal Pure Appl. Math. 6 (1) (2005), Art 4, 1-10.

88. Vijay Gupta and Ogun Dogru, Direct results for certain family of integral type operators, J. Inequal Pure Appl. Math. 6 (1) (2005), Art 21, 1-11.

89. Ulrich Abel, Vijay Gupta and M. Ivan, Rate of convergence of Kantorovitch variant of Meyer-Konig Zeller operators, Mathematical Inequality and Applications 8 (1)(2005).

90. Vijay Gupta, Some approximation properties for modified Baskakov type operators, Georgian Math. J.  12(2)  (2005), 217-228.

91. Z. Finta and Vijay Gupta, Direct and inverse estimates for Phillips type operators, J. Math Anal Appl. 303(2) (2005), 627-642.ISSN 0022-247X IF 1.204

92. Ulrich Abel, Vijay Gupta and Ram N. Mohapatra, Local approximation by beta operators, Nonlinear Analysis, Series A, Theory and Methods 62 (1) (2005), 41-52.

93. H. M. Srivastava and Vijay Gupta,Rate of convergence for Bezier variant of the Bleimann-Butzer-Hahn operators, Applied Mathematics Letters 18 (8) (2005), 849-857.

94.  Ogun Dogru and Vijay Gupta, Motonocity and asymptotic estimate of BleimanButzer and Hahn operators based on q-integers, Georgian Math. J. 12 3 (2005), 415-422.

95. Vijay Gupta and N. Ispir, On the Bezier variant of  generalizedKantorovitch type Balazs operators, Applied Mathematics Letters 18(9) (2005),  1053-1061.

96. Ulrich Abel, Vijay Gupta and M. Ivan, Asymptotic approximation of functions and their derivatives by generalized Baskakov-Szasz-Durrmeyer operators, Analysis in Theory and Application 21 (1) (2005), 15-26.

97. Vijay Gupta and AlexandruLupas,Rate of Approximation for the Bezier variant of Bleimann-Butzer  and Hahn operators, General Mathematics 13 (1) (2005), 41-54.

98. Vijay Gupta and AlexandruLupas, Direct results for mixed Beta Szasz type operators,General Mathematics 13 (2) (2005), 83-94.

99. Vijay Gupta and N Deo, On the rate of convergence for bivariate Beta operators, General Mathematics 13 (3) (2005), 107-114. 

100.Vijay Gupta R. N. Mohapatra and Z. Finta, On certain family of mixed summation integral type operators,Mathematical and Computer Modelling 42 (2005), 181-191.

101. Vijay Gupta, An Estimate on the convergence of BaskakovBézier operators, J Mathematical Analysis and Applications 3121 (2005), 280-288.ISSN 0022-247X IF 1.204

102. Vijay Gupta, Ulrich Abel and M. Ivan, Rate of convergence of Beta operators of second kind for functions with derivatives of bounded variation, International Journal of Math and Math Sci. 2005(23) (2005), 3827-3833.

103. Vijay Gupta, Rate of convergence for SzaszBézieroperators,Ukrianian Mathematical Journal 57 (12) (2005), 1892-1900.

104. Z. Finta and Vijay Gupta, Some direct results for the iterative combinations of Stancu beta operators, J. Concrete and Applicable Mathematics 4(2) (2006), 229-240.

105. Vijay Gupta, Error estimation by mixed summation integral type operators, J. Mathematical Analysis and Applications  313 2 (2006), 632-641.

106. Vijay Gupta and N. Ispir, On the Kantorovitch variant of generalized Bernstein type rational functions, Demons. Math. 39 1 (2006), 117-130.ISSN 0420-1213

107. Vijay Gupta and EsraErkus, On certain hybrid family of summation integral type operators, Journal of Inequalities in Pure and Applied Mathematics 7 (1) (2006), 1-11. 

108. Vijay Gupta and Ogun Dogru, Approximation of bounded variation functions by a Bezier variant of the  Beilmann, Butzer and Hahn operators, International J.  Math MathSci Vol. 2006, Art Id 37253, (2006), 1-5.

109. V. Gupta and R. N. Mohapatra,On the rate of convergence for certain summation integral type operators, Mathematical Inequalities and Applications 9 (3) (2006), 465-472. 

110. Ogun Dogru and Vijay Gupta, Korovkin type approximation properties of bivariate q-Meyer Konig and Zeller operators, Calcolo43(1)(2006), 51-63.

111. Vijay Gupta,TengizShriayev and M. Craciun,Rate of approximation for certain Durrmeyer operators. Georgian Math J. 13 (2) (2006), 277-284.

112. Vijay Gupta and M A Noor, Convergence of derivatives for certain mixed Szasz Beta operators, Journal of  Mathematical  Analysis and  Applications 321 (1) (2006), 1-9.  ISSN 0022-247X IF 1.204

113. A. Aral and Vijay Gupta, q-derivatives and applications to the q-SzaszMirakyan operators, Calcalo43 (3) (2006), 151-170.

114. Vijay Gupta, M. A. Noor and M.S.Beniwal, Rate of convergence in simultaneous approximation for SzaszMirakyanDurrmeyer operators, Journal of Mathematical Analysis and Applications 322 (2) (2006), 964-970.ISSN 0022-247X IF 1.204

115.O. Duman, E. Erkus and V. Gupta, Statistical Rates on The Multivariate Approximation Theory, Math Comput Modelling 44 (9-10) (2006), 763-770.

116. N K Govil and V Gupta, Simultaneous approximation for Bezier variant of Baskakov Beta operators, Mathematical and Computer Modelling 44, 11-12(2006), 1153-1159.

117.N K Govil, Vijay Gupta and M A Noor, Simultaneous approximation for the Phillips operators, International Journal of Math and Math Sci. Vol. 2006 Art Id. 49094 (2006), 1-9.

118.Vijay Gupta, M A Noor, Man Singh Beniwal and M K Gupta, On simultaneous approximation for certain BaskakovDurrmeyer type operators. Journal of Inequalities in Pure and Applied Mathematics 7 (4) (2006), Art.125, 1-15.

119.Vijay Gupta, P. N. Agrawal and H. Karsi, Simultaneous Approximation for the  Phillips Bezier Operators, Journal of Inequalities in Pure and Applied Mathematics 7 (4) (2006), 1-15.

120. N.K.Govil and Vijay Gupta, Rate of convergence for Baskakov type operators on functions of bounded variation, Journal of Combinatorics, Information and System Sciences 31 (1-4) (2006), 1-17.

121.ZoltanFinta, N K Govil and V. Gupta, Some results on modified Szasz-Mirakyan operators, Journal of Mathematical Analysis and Applications 327(2)(2007), 1284-1296.

122.Vijay Gupta, Simultaneous approximation for Bezier variant of Szasz-Mirakyan- Durrmeyer operators, Journal of Mathematical Analysis and Applications 328(1) (2007),101-105.ISSN 0022-247X IF 1.204

123. Vijay Gupta and R. N. Mohapatra, Rate of convergence for modified Szasz operators, Journal of Concrete and Applicable Mathematics 5(3) (2007), 197-202.

124. M K Gupta, Vijay Gupta and Manoj Kumar, Direct and inverse estimates for a new family of linear positive operators in simultaneous approximation, J. Math Anal Appl320 (2) (2007), 799-816.ISSN 0022-247X IF 1.204

125. N K Govil and V Gupta, Direct estimates in simultaneous approximation for Durrmeyer type operators, Mathematical Inequalities and Applications 10 (2) (2007), 371-379. 

126. Vijay Gupta and P. N Agrawal, Rate of convergence for certain BaskakovDurrmeyer type operators, Anal. Univ. Ordea Fasc. Math. 14 (2007), 33-39. 

127. H. M. Srivastava, Zoltan Finta and Vijay Gupta, Direct results for a certain family of summation–integral type operators, Applied Mathematics and Computation 190 (2007),449-457. ISSN 0096-3003 IF 1.551

128. Vijay Gupta, On bounded variation functions by a general MKZD operators, Acta Mathematica Sinica, Eng. Ser. 23 (8) (2007), 1457-1462.

129. M A Noor and Vijay Gupta,Modified Householder iterative method free from second derivatives for nonlinear equations, Applied Mathematics and Computation, 190 (2) (2007), 1701-1706. ISSN 0096-3003 IF 1.551

130. Vijay Gupta and X. M. Zeng, On the Bezier variant of BalazsKantorovitch operators, Math Slovaca57 (4) (2007), 349-358.

131. Vijay Gupta, Erratum to "Simultaneous approximation for Bezier variant of Szasz-Mirakyan-Durrmeyer operators "[J. Math. Anal. Appl. 328 (2007) 101-105]”, J.  Math Anal. Appl. 335 (2)(2007), 1485.ISSN 0022-247X IF 1.204

132.  M. A. Noor, Khalida Inayat Noor and Vijay Gupta, On equilibrium like problems, Applicable Analysis, Applicable Analysis 86(7)(2007), 807-818. 

133. Z. Walczak and Vijay Gupta, Uniform convergence with certain linear operators, Indian J. Pure and Applied Math. 38 (2007), 259-269. 

134. Vijay Gupta and Harun Karsi, Rate of convergence for Bezier variant of MKZD operators, Georgian Math J. 14 (4)(2007), 651-659. 

135. Xu Chen, Xioming Zeng, LianBoyong and Vijay Gupta, Convergence Property of Control Meshes of Catmull-Clark Surfaces, Journal of Mathematical Study, 40 (2007), 386-391. 

136.Vijay Gupta and Jyoti Sinha, Simultaneous approximation for generalized Baskakov-Durrmeyer type operators, Mediterranean Journal of Mathematics 4 (4) (2007), 483-495.ISSN: 1660-5446  0.656

137. P. N. Agrawal, Vijay Gupta and Asha Ram Gairola, On the derivatives of iterative combinations of Phillips operators, Nonlinear Funct. Anal. Appl. 12 (2) (2007), 195-203.

138. Harun Karsli and Vijay Gupta, On Convergence of q-Chlodowsky operators, Applied Mathematics and Computation 195 (1) (2008), 220-229. ISSN 0096-3003 IF 1.551

139. Vijay Gupta and Jyoti Sinha, Direct results on certain Szasz-Mirkyan operators, Applied Mathematics and Computation 195 (1) (2008), 230-239. ISSN 0096-3003 IF 1.551

140. Vijay Gupta, Some approximation properties on q-Durrmeyer operators, Applied Math Computation 197 (1) (2008), 172-178.ISSN 0096-3003 IF 1.551

141.NurhayatIspir and Vijay Gupta, A Statistical approximation by generalizedKantorovich Bernstein type rational operators, South East Asian Bull of Math. 32 (1) (2008), 87-98.      

142. Vijay Gupta and Mircea Ivan, Rate of simultaneous approximation for the Bezier variant of certain operators, Applied Mathematics and Computation 199 (1) (2008), 392-395. ISSN 0096-3003 IF 1.551

143. Ulrich Abel, Vijay Gupta and Ram N. Mohapatra, Local approximation by a variant of  BernsteinDurrmeyer operators, Nonlinear Analysis Series A: Theory, Methods & Applications 68 (11) (2008), 3372-3381. 1 June 2008.

144. H. Karsi and Vijay Gupta,Rate of Convergence by Nonlinear Integral Operators for Functions of Bounded Variation, Calcolo 45 (2008), 87-97.  

145. Vijay Gupta, Rate of approximation for the Balazs-Kantorovich-Bezier operators, Applied Mathematics and Computation 199 (2) (2008),  823-827. ISSN 0096-3003 IF 1.551

146. Vijay Gupta and R. N. Mohapatra, Approximation by Durrmeyer Bezier operators, Nonlinear Analysis, Ser. B, Real World Applications 9 (4) (2008), 1491-1498.

147. Z. Walczak and Vijay Gupta, A Note on the convergence of Baskakov type operators, Applied Mathematics and Computation 202(1) (2008), 370-375. ISSN 0096-3003 IF 1.551

148. Vijay Gupta and Heping Wang, The rate of convergence of q-Durrmeyer operators for 0<q<1. Mathematical Methods in Applied Sciences 31 (16) (2008), 1946-1955.

149. Zoltan Finta and Vijay Gupta,Durrmeyer type Generalized Baskakov-Beta Operators, South East Asian Bull. Math. 32(6) (2008), 1037-1048.   

150. N. K. Govil and Vijay Gupta, Convergence rate for generalized Baskakov type operators, Nonlinear Analysis Series A: Theory, Methods & Applications,69, Issue 11, 1 December (2008)  3795-3801.

151. P. N. Agrawal, Vijay Gupta and Asha Ram Gairola,On iterative combination of a Bernstein Durrmeyer-type operators, Georgian Mathematical J 15(4) (2008), 591-600.

152.Vijay Gupta, Rate of convergence for generalized Baskakov Beta operators, South East Asian Bull. Math.33 (1) (2009), 57–64.

153. Zoltan Finta and Vijay Gupta, Approximation by q Durrmeyer operators, J Applied Math and Computing 29 (1-2) (2009), 401-415.

154. Vijay Gupta and Zoltan Finta, On certain q Durrmeyeroperators,Applied Mathematics and Computation 209 (2009), 415-420. ISSN 0096-3003 IF 1.551

155.Harun Karsli, Vijay Gupta and A. Izgi, Rate of pointwise convergence of a new kind of Gamma operators for functions of bounded variation, Applied Math Letters 22 (2009), 505-510.

156.Vijay Gupta, Approximation for modified BaskakovDurrmeyer type operators, Rocky Mountain J Math 39 (3) (2009), 825-841. 

157. Ali Aral and Vijay Gupta, On q-Baskakov type operators,Demonstratio Mathematica  42 (1)  (2009), 109-122.

158. Vijay Gupta and A. J. Lopez-Moreno and Jose-Manuel Latorre-Palacios, On Simultaneous Approximation of the Bernstein Durrmeyer Operators, Applied Mathematics and Computation 213 (1) (2009), 112-120. ISSN 0096-3003 IF 1.551

159. Vijay Gupta, P. N. Agrawal and A R Gairola, On the integrated Baskakov type operators, Applied Mathematics and Computation 213 (2) (2009), 419-425.ISSN 0096-3003 IF 1.551

160. Sorin Gal and Vijay Gupta, Approximation of vector-valued functions by $q$-Durrmeyer operators with applications to random and fuzzy approximation, Oradea Math. J. 16  (2009), 233-242. 

161.N. K. Govil and Vijay Gupta,  Convergence of q-Meyer-Konig-Zeller-Durrmeyer operators, Advanced Studies in Contemporary Mathematics 19 (2009), 97-108.

162. X.  M.  Zeng and Vijay Gupta, Approximation by integrated MKZ-Bezier operators in the case , Central European J. Math. 7(3) (2009),  550-557.

163. Vijay Gupta and Cristina Radu, Statistical approximation properties of q Baskakov Kantorovich operators, Central Europeon J. Math. 7 (4) (2009), 809-818.

164. T. A. K. Sinha, Vijay Gupta, P. N. Agrawal and A. R. Gairola, Inverse theorem for an iterative combinations of Bernstein Durrmeyeroperators,Studia Univ. Babes Bolyai Mathematica LIV (4) (2009), 153-164. 

165. Vijay Gupta and Ali Aral, Generalized Baskakov Beta operators, Rocky Mountain J. Math. 39 (6) (2009),  1-13.

166. P. Maheshwari and VijayGupta,On the rate of approximation by modified Beta operators, Int. J. Math Math Sci. Volume 2009 (2009), Article ID 205649, 8 pages

167. Vijay Gupta, Certain family of Durrmeyer type operators, AnnalesUniversitatisMariae Curie-Sklodowska Lublin-Polonia, Series A. Vol. LXIII (2009), 109-115.

168.  A. Aral andVijay Gupta, On the Durrmeyer type modification of the q Baskakov type operators, Nonlinear Analysis: Theory Methods and Applications Volume 72, Issues 3-4, 1 February 2010,  1171-1180.

169. Z. FintaandVijayGupta, Approximation Properties of q Baskakov operators, Central Europeon Journal of Mathematics 8 (1) (2010), 199-211. 

170. Vijay Gupta and Ali Aral, Convergence of the q analogue of Szasz Beta operators,  Applied Mathematics and Computation 216 (2010), 374-380. ISSN 0096-3003 IF 1.551

171. Vijay Gupta and X. M. Zeng, Approximation by Bezier variant of the
Szasz-Kantorovich Operator in case , Georgian Math J. 17 (2010), 253-260.  

172. Vijay Gupta and Honey Sharma, Statistical approximation by q integrated Meyer Konig Zeller Kantorovich operators, Creative Math and Information Theory 19 (1)(2010), 45-52.

173.  Vijay Gupta,  On certain type Durrmeyer type q Baskakov operators,  ANNALI DELL'UNIVERSITA' DI FERRARA Volume 56, Issue 2 (2010), 295-303. (Springer)

174. Vijay Gupta, T. Kim, J.ChoiandY-Hee Kim, Generating functions for q Bernstein, q-Meyer-Konig-Zeller and q-Beta basis, Automation, Computer, Mathematics 19(1) (2010), 7-11.

175. Vijay Gupta, A note on q Baskakov-Szasz operators, Lobachevskii Journal of Mathematics 31(4) (2010), 359-366.

176. Vijay Gupta and OktayDuman,  BernsteinDurrmeyer type operators preserving linear functions, Math. Vesniki  62(4) (2010), 259-264.

177. Vijay Gupta, A note on modified Phillips operators, Southeast Asian Bulletin of Mathematics 34 (2010), 847-851.

178.  Vijay Gupta and N.I.Mahmudov, Approximation properties of the q-Szasz-Mirakjan-Beta operators,  Indian J Industrial and Appl. Math. 3(2) (2012), 41-53

179. Vijay Gupta and N. Deo,A Note on rate of approximation for certain Bezier-Durrmeyer operators,  Math. Vesniki 63(1) (2011), 27-32.

180. Vijay Guptaand T. Kim, On the rate of convergence for q modified Beta operators, Journal of Math. Anal. Appl. 377 (2011), 471-480.  ISSN 0022-247X IF 1.204

181. Ali Aral and Vijay Gupta, Generalized SzaszDurrmeyer operators, Lobachevskii Journal of Mathematics 32 (1) (2011), 23-31.

182. Vijay Gupta and Honey Sharma, Recurrence formula and better approximation for q Durrmeyer operators, Lobachevskii Journal of Mathematics 32 (2), (2011), 140-145.

183. G. Nowak andVijay Gupta, The rate of point wise approximation of positive linear operators based on q integers, Ukrianian J. Math.  63 (3) (2011), 350-360.

184. Vijay Gupta, P. N. Agrawal and D. K. Verma,  q-Analogue of discrete Beta operators, Annali Dell Universita di Ferrara Volume 57, Issue 1 (2011), 39-66. (Springer).

185. Ali Aral and Vijay Gupta, Generalized q Baskakov operators, Mathematica Slovaca  61(4) (2011), 619-634.ISSN 0139-991 IF 0.409

186.TuncerAcar, Vijay Gupta and Ali Aral,Rate of convergence for generalized Szasz operators, Bulletin of Math Sci. 1 (2011), 99-113.

187. V. Gupta, T. Kim, V. K. Singh and B. Lee, Rate of simultaneous approximation for Baskakov-Szasz operators, Proceedings of the Jangjeon Mathematical Society, 14 (2011), No. 3. pp. 267-275.

188. Vijay Guptaand N Deo, A note on improved estimates for integrated Szasz-Mirakyan operators, Mathematica Slovaca 61 (5) (2011), 799-806.ISSN 0139-991 IF 0.409

189.  Vijay Gupta, Approximation for summation-integral type Beta-Szasz operators, Lobachevskii Journal of Mathematics  32 (3) (2011), 224-230. 

190. Vijay Gupta and A. Aral, Approximation by q Baskakov Beta operators, ActaMathematicaeApplicataeSinica, English Series 27(4)(2011), 569-580. (Springer).

191. NazimMamudov  and Vijay Gupta, On certain q analogue of Szasz Kantorovich operators, J. Applied Mathematics and Computing 37 (1-2) (2011), 407-419.

192. Sorin G. Gal and Vijay Gupta, Quantative estimates for a new complex Durrmeyer operator in compact disks, Applied Mathematics and Computation 218(6) (2011), 2944-2951.ISSN 0096-3003 IF 1.551

193. Sorin G. Gal and Vijay Gupta, Approximation by a Durrmeyer-type operator in compact disk,Annali Dell Universita di Ferrara 57 (2011), 261-274.

194. Vijay Guptaand Ali Aral, Some approximation properties of q BaskakovDurrmeyeroperators,  Applied Mathematics and Computation 218 (3) (2011), 783-788.ISSN 0096-3003 IF 1.551

195. Vijay Gupta and Rani Yadav, Better approximation by Stancu Beta operators, Rev. D’Anal. NumerTheorL’Approx.  40 (2) (2011), 149-155.

196. Ali Aral and Vijay Gupta, On q analogue of Stancu Beta operators, Applied Mathematics Letters 25 (2012), 67-71.

197. Vijay Gupta and R. Yadav,  Rate of convergence for generalized Baskakov operators, Arab J. Mathematical Sciences 18 (1) (2012), 39-50.

198.  N. I. Mahmudov and Vijay Gupta,  Approximation by Genuine Durrmeyer-Stancu Polynomials in Compact Disks, Mathematical and Computer Modelling 55 (2012), 278-285.

199. D. K. Verma, V. Gupta and P. N. Agrawal, Some approximation properties of Baskakov-Durrmeyer-Stancu operators, Applied Math Computation, 218 (2012), 6549-6556.ISSN 0096-3003 IF 1.551

200. Vijay Gupta and H Karsli, Some approximation properties by q-Szász-Mirakyan-Baskakov-Stancuoperators,  Lobachevsky Journal of Math. 33 (2) (2012), 175-182.

201. N. K. Govil and Vijay Gupta, q-Beta-Szasz- Stancu Operators, Advanced Studies in Contemperory Mathematics 22(1) (2012), 117-123.

202. Sorin G. Gal and Vijay Gupta, Approximation be certain integrated Bernstein type operators in compact disks,  Lobachevskii Journal of Mathematics 33(1) (2012), 39-46.

203. S. Gal, Vijay Gupta and N.I.Mahmudov, Approximation by a complex q Durrmeyer type operators, Ann. Univ. Ferrara 58 (1) (2012), 65-87.

204. Vijay Gupta and Rani Yadav, Direct estimates in simultaneous approximation for BBS operators, Applied Mathematics and Computation 218 (22) (2012), 11290-11296.ISSN 0096-3003 IF 1.551

205. N. K. Govil and Vijay Gupta,Rate of approximation for Szasz-Mirakyan-Stancu-Durrmeyer operators,Lobachevsky Journal of Math 33(3) (2012), 249-254.

206. Vijay Gupta, A. Aral and MuzeyyenOzhavzali,Approximation by q-Szász-Mirakyan-Baskakov operators,  Fasciculi Math. 48 (2012), 35-48.

207. R. P. Agarwal and Vijay Gupta, On q-analogue of a complex summation-integral type operators in compact disks, Journal of Inequalities and Applications2012, 2012:111.

208.  S. Gal, Vijay Gupta, D.K.Verma and P.N.Agrawal, Approximation by complex Baskakov-Stancu operators in compact disks, Rend. Circ. Mat. Palermo 61 (2012), 153-165. (Springer)

209.  Vijay Gupta and D. K. Verma, Approximation by complex Favard-Szasz-Mirakjan-Stancu operators in compact disks, Mathematical Sciences 2012, 6:25 (17 August 2012).

210. Vijay Gupta, T. Kim and Sang-Hun Lee, q-analogue of a new sequence of linear positive operators, J. Inequal. Appl. 2012, 2012:144 doi:10.1186/1029-242X-2012-144

211. Vijay Gupta, Honey Sharma, Taekyun Kim and Sang-Hun Lee, Properties of q analogue of Beta operators, Advances in Diff Equation 2012, 2012:86 doi:10.1186/1687-1847-2012-86

212.N. Mahmoodov, Vijay Gupta  and H. Kaffaoglu, On certain q-Phillips operators, Rocky Mountain J. Math  42 (4) (2012), 1291-1312.

213. Vijay Gupta, D. K. Verma and P. N. Agrawal, Simultaneous approximation by Certain Baskakov-Durrmeyer-Stancu Operators, J. Egyptian Math Soc. 20 (3) (2012), 183-187.

214. Vijay Guptaand R. Yadav, Some approximation results on q-Beta-Szasz operators, Southeast Asian Bulletin of Mathematics 36 (3) (2012), 343-352.

215. Sorin G. Gal and Vijay Gupta, Approximation by complex Beta operators of first kind in strips of compact disks, Med J. Math.10 (1)  (2013),  31-39 (Springer)ISSN: 1660-5446  0.656

216. Vijay Gupta,Approximation properties by Bernstein-Durrmeyer type operators, Complex Analysis and Operator Theory 7(2013), 363-374.(Springer)

217. P. N. Agrawal, Vijay Gupta and Satish Kumar, On q-analogue of Bernstein-Schurer-Stancu operators, Applied Mathematics and Computation 219 (14) (2013), 7754-7764.ISSN 0096-3003 IF 1.551

218. Ali Aral and Vijay Gupta, On certain BaskakovDurrmeyer operators, Creative Math. Inform. 22(1) (2013), 1-8.

219. H. Karsli and V.Gupta,On convergence of q Chlodovsky type MKZD operators, Math. Vesnik, 65 (2) (2013), 187-196.

220. Vijay Gupta, NaokantDeo and X. M. Zeng, Simultaneous Approximation for Szasz-Mirakian-Stancu-Durrmeyer Operators, Analysis in Theory and Appl. 29(1) (2013), 1-11.

221.Vijay Gupta, A New Class of Durrmeyer operators, Advanced Studies in Contemperory Math. 23(2) (2013), 219-224.

222. Vijay Gupta, P. N. Agrawal and D. K. Verma, A q-Analogue of modified Beta operators, Rocky Mountain J Math. 43( 3)  (2013), 931-947.

223. Vijay Gupta and T. Kim, On the q analogue of Baskakov basis function, Russian J. Math. Physics 20 (3) (2013), 191-200.(Springer)

224. S. G. Gal and Vijay Gupta, Approximation by Complex StancuBeta integral operators of second kind in semidisks, Rev.Anal.Numer. Theeor. Approx. 42 (1) (2013), 21-36.

225. Vijay Gupta, R. P. Agarwal and D. K. Verma, Approximation for a new sequence of summation-integral type operators, Advances in Mathematical Sciences and Applications 23 (1) (2013), 35-42.

226. Vijay Gupta, Combinations of integral operators, Appl.Math.Comput. 224(2013), 876-881.ISSN 0096-3003 IF 1.551

227. N.K.Govil, Vijay Gupta and D Soyabos, Certain New classes of Durrmeyer Type operators, Appl. Math. Comput. 225 (2013), 195-203.ISSN 0096-3003 IF 1.55

228.VijayGupta, Convergence of Szasz Beta operators, Ann. Univ. Ferrara 59 (2013), 311-318.

229. Vijay Gupta and Rani Yadav, Approximation by complex summation-integral type operators in compact disks, Mathematica  Slovaca 63 (5) (2013), 1025-1036.

230. X. M. Zeng, Vijay Gupta and O. Agratini, Rate of approximation by Bezier variant of the Baskakov-Kantorovich operators in case , Rocky Mountain J Math.  44 (1) (2014), 317-327.

231. Vijay Gupta and H. Karsli, Approximation for certain Durrmeyer-Stancu operators in compact disks, Southeast Asian Bulletin of Math. 38(3) (2014), 359-368.

232. Vijay Gupta, G. Tachev, Approximation by Szasz-MirakyanBaskakov operators, J. Appl. Funct. Anal. 9 (3-4) (2014), 308-319. 

233. Vijay Gupta, Stancu variant of Beta-Szasz operators, Georgian Math. J.21 (1) (2014), 75-82.

234. Vijay Gupta and Themistocles M. Rassias, LupasDurmeyer operators based on Polya distribution, Banach J Math Anal. 8 (2) (2014), 146-155.

235. S. G. Gal and Vijay Gupta, Approximation by complex Szasz-Durrmeyer operators in compact disks, Acta Math. Sci. 34 B (4) (2014), 1157-1165.

236. S. G. Gal andVijay Gupta, Approximation by complex Phillips-Stancu operators in compact disks under exponential growth, Applied Math.Comput. 234 (2014), 309-315.IF 1.551

237. VijayGupta, Th. M. Rassias and Rani Yadav, Approximation by Lupas Beta integral operators,AppliedMath.and Computation 236 (1) (2014), 19-26.IF 1.551

238. P. N. Agrawal, Vijay Gupta, A Sathish Kumar, A. Kajla, Generalized BaskakovSzasz type operators,  Appl. Math. Comput. 236 (1) (2014), 311-324.IF 1.551

239. N. I. Mahmudov and Vijay Gupta, Approximation by complex q-Durrmeyer polynomials in compact disks, Acta Math Appl. Sinica30 (1) (2014), 65-74.

240. Vijay Gupta, Complex Baskakov-Szasz operators in compact semi-disks, Lobachevskii J. Math.35 (2) (2014), 65-73.

241.VijayGuptaand Rani Yadav, On the approximation of certain integral operators, Acta Math Vietnamica 39 (2014), 193-203.

242. P. N. Agrawal, Vijay Gupta and A. Sathish Kumar, Generalized Baskakov-Durrmeyer type operators, Rend. ContidelCircoloMatematico di Palermo 63(2) (2014), 193-209.

243. Vijay Gupta andDanyalSobayas, Approximation by complex genuine hybrid operators, Appl. Math. Computation244 (2014), 526-532.ISSN 0096-3003 IF 1.551

244. Daniel Cardenas-Morales and Vijay Gupta, Two families of Bernstein-Durrmeyer type operators, Appl. Math. Computation  248 (2014), 342-353.ISSN 0096-3003 IF 1.551

245. Vijay Gupta and GanchoTachev, Approximation by linear combinations of complex Phillips operators in compact disks, Results in Math. 66 (2014), 265-272.IF 0.864

246. Vijay Gupta and Th. M Rassias,Direct Estimates for Certain Sz\'asz type operators, Applied Mathematics and Computation 251(2015), 469-474.IF 1.551

247. Vijay Gupta, Direct estimates for a new general family of Durrmeyer type operators, Bollettinodell'UnioneMatematicaItaliana 7 (2015), 279-288.

248. Vijay Gupta and N. Malik, Approximation for genuine summation-integral type operators, Appl. Math. Comput. 260 (2015), 321-330.ISSN 0096-3003 IF 1.551

249. S. G. Gal and Vijay Gupta, Approximation by complex Szasz-Mirakyan-Stancu-Durrmeyeroperators  in compact disks under Exponential Growth, Filomat 29(5) (2015), 1127-1136.

250.S. G. Gal and Vijay Gupta, Complex form of a link operator between the Phillips and the Szasz-Mirakjan operators, Results in Math 67 (3-4) (2015), 381-393.ISSN: 1422-6383 IF 0.864

251. Vijay Gupta, Overconvergence of Complex Baskakov–Szász–Stancu Operators, Mediterranean Journal of Mathematics12 (2) (2015), 455-470.

252. T. Acar, A. Aral andVijay Gupta, On approximation properties of a new type Bernstein-Durrmeyer operators, Mathematica Slovaca 65 (5) (2015),1107-1122.

253. S. G. Gal andVijay Gupta, Approximation by complex Baskakov-Szasz-Durrmeyer operators in compact disks, Analysis in Theory and Applications 31 (2) (2015), 207-220.

254. Vijay Gupta and G. C. Greubel, Moment estimations of a new Szasz-Mirakyan-Durrmeyer operators, Appl. Math Comput.  271 (2015), 540-547.IF 1.551

255.  U. Abel, Vijay Gupta and Mircea Ivan, A generalization of a combinatorial identity by Chang and Xu, Bull. Math Sci. 5 (3) (2015), 511-516. IF 0.586.

256.Vijay  Gupta and G. Tachev, Upper estimates for general complex BaskakovSzasz operators, J. Classical Analysis 7(1) (2015), 17-23.

257. MeenuGoyal, Vijay Gupta and P. N. Agrawal, Quantative convergence results for a family of hybrid operators, Appl.Math.Comput 271 (2015), 893-904.

258. D. K. Verma and Vijay Gupta,Approximation for Jakimovski-Leviatan-Paltanea operators, Annalidell'Università di Ferrara 61(2) (2015), 367-380.

259. S. G. Gal andVijay Gupta, Approximation by complex Lupas-Durrmeyer polynomials based on Polya distribution, Banach J. Math Anal. 10 (1) (2016), 209-221.

260. Vijay Gupta, Th M Rassias, Honey Sharma, q Durrmeyer operators based on Polya distribution, J. Nonlinear Sci. Appl. 9 (2016), 1497-1504.

261. Vijay Gupta and A. Aral, Bernstein Durrmeyer operators based on two parameters, FactaUniversitatis,Series: Mathematics and Informatics 31(1) (2016), 79-95.

262. O. Agratini and Vijay Gupta, On the uniform convergence of q series, Carpathian J Math. 32 (2) (2016).

263. Ali Aral and Vijay Gupta,Direct estimates for LupasDurrmeyer operators, Filomat 30 (1) (2016), 191-199. 

264. Vijay Gupta and Neha Malik, Direct estimations of new generalized Baskakov-Szasz operators, Publ. Math. Inst. (Beograd) 99 (113) (2016), 265-279.

265.Vijay  Gupta and G. Tachev, General form of Voronovskaja's theorem in terms of weighted modulus of continuity, Results Math 69  (3-4) (2016), 419-430.

266. Vijay Gupta, (p,q)-Baskakov-Kantorovich operators, Appl. Math. Inf. Sci., 10 (4)(2016), 1551-1556.

267. Vijay Gupta, (p,q) Genuine Bernstein Durrmeyeroperators,Bull Un Matt. Ital.9(3) (2016), 399-409.

268.A. Aral, E. Deniz and Vijay Gupta,On Modification of the Szasz-Durrmeyer Operators, Georgian Math. J. 23 (3) (2016), 323-328.

269. Vijay Gupta and DanyalSoybas, Convergence of integral operators based on different distributions, Filomat 30 (8) (2016), 2277-2287.

270. A. Aral and Vijay Gupta, (p,q)-Type Beta functions of second kind, Advances in Operator Theory 1(1) (2016), 134-144.

271. Vijay Gupta and Th. M. Rassias,(p,q)-Genuine Baskakov-Durrmeyer operators, International Journal of Nonlinear Analysis and Applications 7(2) (2016), 69-76.

272.N. Malik and Vijay Gupta, Approximation by (p,q) Baskakov Beta operators, Applied Math. Computation 293 (2017), 49-56.

273. Vijay Gupta, Ana Maria Acu and Daniel Florin Sofonea, Approximation of Baskakov type PolyaDurrmeyer operators, Appl. Math. Comput. 294 (2017), 318-331. 

274.Vijay Gupta and N. Malik, Approximation of functions by complex genuine Polya-Durrmeyer operators, Computational Methods and Function Theory 17(1)(2017), 3-17.

275.Vijay Gupta, T.M.RassiasandEkta Pandey, On Genuine Lupa¸s-Beta operators and Modulus of Continuity Int J. Nonlinear Anal Appl. 8 (1) (2017), 23-32.

276. Zoltan Finta and Vijay Gupta Approximation theorems for limit (p,q)-Bernstein-Durrmeyer operators, Facta Univ.(NIS) 32 (2) (2017), 195-207.

277. A. Aral and Vijay Gupta, (p,q)-Variant of Szász-Beta operators, Revista de la Real Academia de Ciencias Exactas, Físicas y. 111 (2017), 719-733.

278. Vijay Gupta and Neha Malik, Approximation with certain Szasz-Mirakyan operators, Khayyam J. Math. 3(2)(2017), 90-97.279. Ali Aral and Vijay Gupta, Applications of (p,q)-Gamma Function to SzaszDurrmeyer operators, PublInst Math. Belgrade 102(116) (2017), 211–220.

280.Vijay Gupta and GanchoTachev,  Approximation by Phillips operators preserving exponential functions, Medett. J. Math.14 (2017), Art. 177.

281. Ana Maria AcuandVijayGupta,Direct results for certain summation-integral type Baskakov-Sz\'{a}szoperators, Results Math. 72(3) (2017), 1161-1180.

282. OvguGurel Yilmaz, Vijay Gupta and Ali Aral, On Baskakov Operators preserving exponential function, J. Numer. Anal. Approx. Theory 46(2)(2017), 150-161. 

283. Vijay Gupta and Deepika Agrawal, Approximation results by certain genuine operators of integral type, Kragujevac Journal of Mathematics 42(3) (2018), 335-348.

284. EmreDeniz, Ali Aral and Vijay Gupta, Note on Sz\'asz-Mirakyan-Durrmeyer operators preserving $e^{2ax},a>0$, Numerical Functional Analysis and Optimization 39(2)(2018), 201-207.

285. Vijay Gupta, (p,q)-Szasz-Mirakyan-Baskakov operators, Complex Analysis and Operator Theory 12(1) (2018), 17-25.

286. Vijay Gupta and Neha Malik,Genuine link BaskakovDurrmeyer operators, Georgian Math J. 25(1) (2018), 25-40.

287. G. V. Milonovic, Vijay Gupta and Neha Malik, (p,q)-Beta functions and applications in approximation, Boletín de la SociedadMatemática Mexicana, TerceraSerie 24 (1) (2018), 219-237

288.Vijay Gupta and Ali Aral, A note on Szasz-Mirakyan-Kantorovich type operators preserving $e^{-x}$, Positivity 22(2) (2018), 415-423.

289. Vijay Gupta and Ana Maria Acu, On Baskakov-Szasz-Mirakyan type operators preserving exponential functions, Positivity 22(3) (2018),919–929.

290. Vijay Gupta and H. M. Srivastava,A general family of the Srivastava-Gupta operators preserving linear functions,European J. Pure Appl. Math. 11(3)(2018), 575-579.

291. Vijay Gupta,Differences of operators of Lupas type, Constructive Mathematical Analysis 1(1)(2018), 9-14.

292. Ana Maria Acu, Vijay Gupta and N. Malik, Local and global approximation for certain (p,q)-Durrmeyer type operators, Complex Analysis and Operator Theory 12 (8) (2018), 1973-1989.

293. S G Gal and Vijay Gupta, Approximation by a Complex Post-Widder Type Operator, Analysis in Theory and Applications 34(4) (2018), 297-305.

294. Vijay Gupta, Some Examples of Genuine Approximation Operators, General Mathematics 26(1) (2018), 3-9.

295. Vijay Gupta, Th.M.Rassias, P. N. AgrawalandMeenuGoyal, Approximation with Certain Genuine Hybrid Operators, Filomat32(6) (2018). 2335-2348.

296.Vijay Gupta and Antonio-JesúsLópez-Moreno, Phillips operators preserving arbitrary exponential functions, $e^{at}$, $e^{bt}$, Filomat 32 (14) (2018). 27.08.2018.

297. Vijay Gupta and GanchoTachev, A note on the differences of two positive linear operators, Constructive Mathematical Analysis 2(1)(2019), 1-7.

298. Vijay Gupta and Deepika Agrawal, Convergence by modified Post-Widder operators, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(2)(2019),  1475-1486.

299. Vijay Gupta, PrernaMaheshwari, Approximation with certain Post-Widder operators, PublInst Math, 105(119) (2019), 1-6.

300. Vijay Gupta, Ana Maria Acu and GanchoTachev, ModifiedKantorovich operators with better approximation properties, Numerical Algorithm. 81(1)(2019), 125-149. https://doi.org/10.1007/s11075-018-0538-7

301. Vijay Gupta, General estimates for the difference of operators, Computational and Mathematical Methods 1(2) (2019) e1018 https://doi.org/10.1002/cmm4.1018

302. Deepika Agrawal and Vijay Gupta,Generalized Hybrid Operators Preserving Exponential Functions, Asian-European J. Math. 12 (1) (2019), 1950085 (11 pages). https://doi.org/10.1142/S179355711950089X

303. A M Acu, Vijay Gupta and G. Tachev,  Better numerical approximation by Durrmeyer type operators, Results Math. 74(90)(2019), https://doi.org/10.1007/s00025-019-1019-6

304. Vijay Gupta, On difference of operators with applications to Sz\'asz type operators, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113 (3) (2019), 2059-2071. https://doi.org/10.1007/s13398-018-0605-x

305. Vijay Gupta, DanyalSoybas and GanchoTachev, Improved approximation on Durrmeyer type operators, Boletín  de la SociedadMatemática Mexicana 25(2)(2019), 363-373.

306. Vijay Gupta, A note on general family of operators preserving linear functions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113 (4) (2019), 3717-3725. https://doi.org/10.1007/s13398-019-00727-z

307. Vijay Gupta and Ana Maria Acu,On difference of operators with different basis functions, Filomat 33 (10) (2019), 3023-3034.

308. Vijay Gupta, Differences of operators of Baskakov type, Fasciculi Math. 62 (2019), 47-55.

309.Vijay Gupta, D.  Agarwal and Th.M.Rassias,Quantitative Estimates for Differences of Baskakov-type Operators,Complex Anal. Oper. Theory 13(8) (2019), 4045-4064.

310. Vijay Gupta, Approximation with certain exponential operators, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasRACSAM  114 (2) (2020): 51.

311. Vijay Gupta, Convergence estimates for Gamma operator, Bull Malaysian Math Soc. 43(3), (2020), 2065-2075.

312. Vijay Gupta, A. M. Acu and H. M. Srivastava, Difference of Some Positive Linear ApproximationOperatorsforHigher-Order Derivatives,  Symmetry (2020), 12, 915; doi:10.3390/sym12060915

313. Vijay Gupta and P. N. Agrawal, Approximation by modified Paltanea operator, PublInst Math. 107(121) (2020), 157–164.

314.Vijay Gupta and G. Agrawal, Approximation for modification of exponential type operators connected with x(x+1)^2, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasRACSAM 114, 158 (2020). https://doi.org/10.1007/s13398-020-00889-1.

315. Vijay Gupta and G. Agrawal, Approximation for Link Ismail-May Operators, Annals of Functional Analysis 11 (2020), 728-747.

316. Vijay Gupta, A Generalized Class of Integral Operators, Carpathian J. Math.  36(3) (2020), 425-433.

317. O. G.Yilmaz, Vijay Gupta and Ali Aral,  A note on Baskakov-Kantorovich type operators preserving e^{-x}, Math. Meth. Appl. Sci43(13)(2020), 7511-7517. https://doi.org/10.1002/mma.5337

318.Ulrich Abel and Vijay Gupta, Rate of convergence of exponential type operators related to $p(x) =2x^{3/2}$ for functions of bounded variation, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas volume 114, Art 188 (2020)

319.Vijay Gupta, A large family of linear positive operators,  Rend. Circ. Mat. Palermo, II. Ser 69 (2020),  701–709. https://doi.org/10.1007/s12215-019-00430-3

320. Vijay Gupta, Estimate for the difference of operators having different basis functions, RCMP, Rendiconti del CircoloMatematico di Palermo Series 269, (2020), 995–1003.https://doi.org/10.1007/s12215-019-00451-y

321.G. Tachev, Vijay Gupta and Ali Aral, Voronovskaja's theorem for functions with exponential growth,  Georgian Math. J, 27(3) (2020), 459-468. DOI: https://doi.org/10.1515/gmj-2018-0041

322.Vijay Gupta, Manuel L Pelicer and H. M.  Srivastava, Convergence Estimates of a Family of Approximation Operators of Exponential Type, Filomat 34:13 (2020), 4329–4341.

323. Vijay Gupta, Higher order Lupas-Kantorovich operators and finite differences, RACSAM 115, 100 (2021). [July 2021] https://doi.org/10.1007/s13398-021-01034-2

324. Vijay Gupta and J Bustamante, Kantorovich variant of Jain-Pethe operators, Numerical Functional Anal and Optimiz, 42(5) (2021), 551-566.

325. Vijay Gupta and Adrian Holhos, Approximation with arbitrary order by Baskakov-type operators preserving exponential functions, Bull. Malays. Math. Sci. Soc. 44 (4)(2021), 44 (4), 2567-2576. [July 2021] https://doi.org/10.1007/s40840-020-01063-x

326. Ulrich Abel and Vijay Gupta,  A complete asymptotic expansion for operators of exponential type with p(x) = x (1+x)^2,  Positivity 25 (2021), 1013–1025.  [July 2021] https://doi.org/10.1007/s11117-020-00802-5

327.Vijay Gupta, Carmen Muraru and VoichitaRadu, Convergence of Certain Hybrid Operators, Rocky Mountain J. Math. 51(4) (2021), 1249-1258. [August 2021]

328. Ulrich Abel, Vijay Gupta and VitaliyKushnirevych, Asymptotic expansion for certain exponential type operators connected with 2x^{3/2}, Mathematical Sciences 15 (2021), 311-315. [Sept 2021] https://doi.org/10.1007/s40096-021-00382-9

329.Vijay Gupta, Ali Aral and Carmen Muraru, Modification of exponential type operators preserving exponential functions connected with $x^3$, Mediterr. J. Math. (2021) 18:222.  [October 2021] https://doi.org/10.1007/s00009-021-01851-0 

330. Antonio-Jesus Lopez-Moreno and Vijay Gupta, Exponential moments and simultaneous approximation properties for Durrmeyer type operators with weights of Szász basis functions, Filomat35 (5) (2021), 1465-1475. [Nov 2021]

331.Vijay Gupta, Convergence of exponential operators connected with $x^3$ on functions of BV, Miskolac Math Notes 22(2) (2021), 681-686. [Dec.2021] 10.18514/MMN.2021.3610

332. Vijay Gupta and M. Th. Rassias, Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators, J. Numer Anal Approx. Theory 50 (2) (2021), 153-163.

333. Vijay Gupta, Certain Properties of Lupas–Kantorovich Operators, Filomat35 (15), (2021), 5227-5236 [Dec 2021]

334.Vijay Gupta and GanchoTachev, Some results on Post-Widder operators preserving test function x^r,  Kragujevac J. Math. 46(1) (2022), 149-165.

335.Vijay Gupta and Anjali, Higher order Kantorovich operators  based on inverse P\'olya-Eggenbergerdistribution,Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas, 116, Article number: 31 (2022). [January 2022]

336. FiratOzarsalac, Vijay Gupta and Ali Aral, Approximation by some Baskakov-Kantorovich exponential type operators, Bull. Iran. Math. Soc. 48 (2022), 227-241.  [February 2022] https://doi.org/10.1007/s41980-020-00513-3 28.8.2020, revision 23.11.2020.

337. Ulrich Abel, Vijay Gupta and M. Sisodia, Some new semi-exponential operators, Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas, 116, Article number: 87 (2022).  [April 22]

338. Gunjan Agrawal and Vijay Gupta, Ismail-May-Kantorovich operators preserving affine functions, Filomat36(5)(2022), 1635–1648. https://doi.org/10.2298/FIL2205635A

339.Vijay Gupta, On New Exponential-Type Operators, Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas 116, Art. 157 (2022). https://doi.org/10.1007/s13398-022-01302-9[October 2022]

340.Ana Maria Acu, Vijay Gupta, Ioan Rasa and Florin Sofonea, Convergence of special sequences of semi-exponential operators, MathematicsVol. 10, Issue 16, Art. 2978 (2022) 

341. Vijay Gupta, Ali Aral and O. Firat, On Semi Exponential Gauss-Weierstrass operators, Anal Math. Physics 12 111 (2022).

342. VijayGuptaandG.V.Milonovic,A solution to exponential operators, Results Math 77 (2022), Art. 207.[October 2022]

343. Vijay Gupta and GanchoTachev, A modified Post Widder operators preserving e^{Ax}, StudiaUniversitatisBabeș-Bolyai Mathematica 67(3) (2022), 599-606.

344. Vijay Gupta and Anjali, Kantorovich variant of Stancu operators, Filomat 36(15) (2022), 5107-5117.

345. Gunjan Agrawal and Vijay Gupta, Modified Lupas-Kantorovich operators based on Polya distribution, Rocky Mount J Math  52(6) (2022), 1909-1919.

346. Sorin Gal and Vijay Gupta, Approximation by an Exponential-Type Complex Operators, Kragujevac Journal of Mathematics 47 (5) (2023), 691–700. 

347. Vijay Gupta and Anjali, OnKantorovich variant based on inverse Polya–Eggenberger distribution, Bull. Malays. Math. Sci. Soc. 46, 2 (2023).  https://doi.org/10.1007/s40840-022-01398-7

348. Gunjan Agrawal and Vijay Gupta, Approximation properties of semi-exponential SzászMirakyan-Kantorovich operators, Filomat 37(4)(2023), 1097-1109.

349. Vijay Gupta,  A form of Gamma operators due to Rathore, Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas 117, Art. 81 (2023).  https://doi.org/10.1007/s13398-023-01413-x[April 2023]

350. Vijay Gupta and Anjali, A new type of exponential operator, Filomat 37(14) (2023),4629-4638.  

351. Vijay Gupta and Monika Herzog, Semi Post-Widder operators and difference estimates, Bull. Iran. Math. Soc. 49, 18 (2023)https://doi.org/10.1007/s41980-023-00766-8[April 2023].

352.Anjali and Vijay Gupta, Higher order Bernstein-Kantorovich operators, Proc. National Acad. Sci. (April–June 2023) 93(2):233–242. doi.org/10.1007/s40010-022-00804-w

353. Anjali, Vijay Gupta, Voronovskaja-Type Quantitative Difference Estimates of Positive Linear Operators with Different Basis Functions, Miskolc Math. Notes 24 (2023), 47-61. DOI: 10.18514/MMN.2023.3981

354. Ulrich Abel and V Gupta, Rate of convergence of a generalization of Rathore operators and Post–Widder operators, Advances in Operator Theory 8: 43(2023), pp.1-15.  [July 2023]

355. Vijay Gupta and Gunjan Agrawal, (p,q)-Post-Widder operators of semi-exponential type,  Bulletin of the Transilvania University of Brasov Series III – Mathematics & Computer Science 3(65), No. 2 (2023), 21-30.

356.Vijay Gupta, New operators based on Laguerre polynomials. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 19 (2024). https://doi.org/10.1007/s13398-023-01521-8

357.Vijay Gupta and Gunjan Agrawal, On hybrid Baskakov operators preserving two exponential functions, Mathematical Foundations of Computing 7 (2024), 136-147.

358.Vijay Gupta and D.Malik,On convergence of certain Hermite-type operators, Filomat 38 (4) (2024), 1367-1374. 

359.Vijay Gupta, Convergence of operators based on some special functions,Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 118, 99 (2024). https://doi.org/10.1007/s13398-024-01597-w

360. Vijay Gupta and Deepak Kumar, On a new Kantorovich operator based on Hermite polynomials, J. Appl. Math. Comput. 70, 2587–2602 (2024).  https://doi.org/10.1007/s12190-024-02068-6

361. Ulrich Abel and Vijay Gupta,  Composition of integral-type operators and discrete operators involving  Laguerre polynomials,  Positivity 28, 39 (2024).  https://doi.org/10.1007/s11117-024-01058-z

362. Vijay Gupta and R. Gupta, Convergence estimates for some composition operators, Constructive Math Anal. 7(2) (2024), 69-76.

363. Ulrich Abel and Vijay Gupta, On composition of integral-type operators and discrete operators, Mathematica Pannonica New Series 30 /NS 4/ (2024) 1, 21-33 https://doi.org/10.1556/314.2024.00001

364.Anjali and Vijay Gupta, Simultaneous approximation for an exponential operator connected with x^(4/3), Mathematica Pannonica New Series 30 /NS 4/ (2024) 1, 72-79 https://doi.org/10.1556/314.2024.00007

365. Vijay Gupta and Vaibhav Sharma,  Durrmeyer Variant of Certain Approximation operators, J. Apl. Math Computing 70 (2024), 3717-3730. https://doi.org/10.1007/s12190-024-02113-4[August2024]

366. VaibhavSharma and Vijay Gupta, Convergence properties of Durrmeyer-type sampling operators, Computational and Applied Mathematics 43: 403 (2024). https://doi.org/10.1007/s40314-024-02918-w [October 2024]

367. Vijay Gupta, New discrete operators from generalized Baskakov operators, Filomat38 (21) (2024).

368. Ulrich Abel, Vijay Gupta and VitaliyKushnirevych, The composition of some  operators of exponential type, Filomat 38 (25) (2024).

369. Vijay Gupta and G. Agrawal, Generalization of Lupas-Kantorovich operators connected with Polya distribution, Krasjugavac J Math. 50 (1) (2026), 105-114.

370. Vijay Gupta, Operators based on Pólya distribution and finite differences, Math Met. Appl. Sci 20.8.2021 https://doi.org/10.1002/mma.7995

 

 

 

 

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