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Rate of convergence for modified Srivastava–Gupta type operators

Year 2017, Volume: 7, 10 - 15, 19.12.2017

Abstract

In this paper, we give a generalization of Srivastava-Gupta operators introduced by Srivastava and Gupta and estimate the rate of convergence for these operators for the real valued continuous bounded functions on the positive semi-axis.

References

  • Acar, T., Mishra, L.N., Mishra, V.N., Simultaneous approximation for generalized Srivastava–Gupta operator, Journal of Function Spaces, 2015(2015), Article ID 936308, 11 pages, doi: 10.1155/2015/936308.
  • Deo, N., Faster rate of convergence on Srivastava–Gupta operators, Applied Mathematics and Computation, 218(2012), 10486–10491.
  • DeVore, R.A., Lorentz, G.G., Constructive Approximation, Springer, Berlin, 1993.
  • Gairola, A.R., Deepmala, Mishra, L.N., Rate of approximation by finite iterates of q-Durrmeyer operators, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (April-June 2016) 86(2)(2016), 229–234, doi: 10.1007/s40010-016-0267-z.
  • Gandhi, R.B., Deepmala, Mishra, V.N., Local and global results for modified Sz´asz–Mirakjan operators, Math. Method. Appl. Sci., 40(7)(2017), 2491–2504, doi: 10.1002/mma.4171.
  • İspir, N., Yüksel, ˙İ., On the Bezier variant of Srivastava-Gupta operators, Applied Mathematics E-Notes, 5(2005), 129–137.
  • Kumar, A., Mishra, V.N., Tapiawala, D., Stancu type generalization of modified Srivastava–Gupta operators, European Journal of Pure and Applied Mathematics, 10(4)(2017), 890–907.
  • Malik, N., Some approximation properties for generalized Srivastava–Gupta operators, Applied Mathematics and Computation, 269(2015), 747–758.
  • Mishra, V.N., Khatri, K., Mishra, L.N., Deepmala, Inverse result in simultaneous approximation by Baskakov–Durrmeyer–Stancu operators, Journal of Inequalities and Applications 2013, 2013:586, doi: 10.1186/1029-242X-2013-586.
  • Sharma, P.M., On modified Srivastava–Gupta operators, Filomat, 29(6)(2015), 1173–1177.
  • Srivastava, H.M., Gupta, V., A certain family of summation–integral type operators, Mathematical and Computer Modelling, 37(2003), 1307-1315.
  • Verma, D.K., Agrawal, P.N., Convergence in simultaneous approximation for Srivastava–Gupta operators, Mathematical Sciences 2012, 6:22(2012), 8 pages.
  • Yadav, R., Approximation by modified Srivastava–Gupta operators, Applied Mathematics and Computation, 226(2014), 61–66.
Year 2017, Volume: 7, 10 - 15, 19.12.2017

Abstract

References

  • Acar, T., Mishra, L.N., Mishra, V.N., Simultaneous approximation for generalized Srivastava–Gupta operator, Journal of Function Spaces, 2015(2015), Article ID 936308, 11 pages, doi: 10.1155/2015/936308.
  • Deo, N., Faster rate of convergence on Srivastava–Gupta operators, Applied Mathematics and Computation, 218(2012), 10486–10491.
  • DeVore, R.A., Lorentz, G.G., Constructive Approximation, Springer, Berlin, 1993.
  • Gairola, A.R., Deepmala, Mishra, L.N., Rate of approximation by finite iterates of q-Durrmeyer operators, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (April-June 2016) 86(2)(2016), 229–234, doi: 10.1007/s40010-016-0267-z.
  • Gandhi, R.B., Deepmala, Mishra, V.N., Local and global results for modified Sz´asz–Mirakjan operators, Math. Method. Appl. Sci., 40(7)(2017), 2491–2504, doi: 10.1002/mma.4171.
  • İspir, N., Yüksel, ˙İ., On the Bezier variant of Srivastava-Gupta operators, Applied Mathematics E-Notes, 5(2005), 129–137.
  • Kumar, A., Mishra, V.N., Tapiawala, D., Stancu type generalization of modified Srivastava–Gupta operators, European Journal of Pure and Applied Mathematics, 10(4)(2017), 890–907.
  • Malik, N., Some approximation properties for generalized Srivastava–Gupta operators, Applied Mathematics and Computation, 269(2015), 747–758.
  • Mishra, V.N., Khatri, K., Mishra, L.N., Deepmala, Inverse result in simultaneous approximation by Baskakov–Durrmeyer–Stancu operators, Journal of Inequalities and Applications 2013, 2013:586, doi: 10.1186/1029-242X-2013-586.
  • Sharma, P.M., On modified Srivastava–Gupta operators, Filomat, 29(6)(2015), 1173–1177.
  • Srivastava, H.M., Gupta, V., A certain family of summation–integral type operators, Mathematical and Computer Modelling, 37(2003), 1307-1315.
  • Verma, D.K., Agrawal, P.N., Convergence in simultaneous approximation for Srivastava–Gupta operators, Mathematical Sciences 2012, 6:22(2012), 8 pages.
  • Yadav, R., Approximation by modified Srivastava–Gupta operators, Applied Mathematics and Computation, 226(2014), 61–66.
There are 13 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

İbrahim Büyükyazıcı

Çiğdem Atakut

Publication Date December 19, 2017
Published in Issue Year 2017 Volume: 7

Cite

APA Büyükyazıcı, İ., & Atakut, Ç. (2017). Rate of convergence for modified Srivastava–Gupta type operators. Turkish Journal of Mathematics and Computer Science, 7, 10-15.
AMA Büyükyazıcı İ, Atakut Ç. Rate of convergence for modified Srivastava–Gupta type operators. TJMCS. December 2017;7:10-15.
Chicago Büyükyazıcı, İbrahim, and Çiğdem Atakut. “Rate of Convergence for Modified Srivastava–Gupta Type Operators”. Turkish Journal of Mathematics and Computer Science 7, December (December 2017): 10-15.
EndNote Büyükyazıcı İ, Atakut Ç (December 1, 2017) Rate of convergence for modified Srivastava–Gupta type operators. Turkish Journal of Mathematics and Computer Science 7 10–15.
IEEE İ. Büyükyazıcı and Ç. Atakut, “Rate of convergence for modified Srivastava–Gupta type operators”, TJMCS, vol. 7, pp. 10–15, 2017.
ISNAD Büyükyazıcı, İbrahim - Atakut, Çiğdem. “Rate of Convergence for Modified Srivastava–Gupta Type Operators”. Turkish Journal of Mathematics and Computer Science 7 (December 2017), 10-15.
JAMA Büyükyazıcı İ, Atakut Ç. Rate of convergence for modified Srivastava–Gupta type operators. TJMCS. 2017;7:10–15.
MLA Büyükyazıcı, İbrahim and Çiğdem Atakut. “Rate of Convergence for Modified Srivastava–Gupta Type Operators”. Turkish Journal of Mathematics and Computer Science, vol. 7, 2017, pp. 10-15.
Vancouver Büyükyazıcı İ, Atakut Ç. Rate of convergence for modified Srivastava–Gupta type operators. TJMCS. 2017;7:10-5.