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Rate of convergence for modified Srivastava–Gupta type operators

Yıl 2017, Cilt: 7, 10 - 15, 19.12.2017

Öz

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.

Kaynakça

  • 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.
Yıl 2017, Cilt: 7, 10 - 15, 19.12.2017

Öz

Kaynakça

  • 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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

İbrahim Büyükyazıcı

Çiğdem Atakut

Yayımlanma Tarihi 19 Aralık 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 7

Kaynak Göster

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. Aralık 2017;7:10-15.
Chicago Büyükyazıcı, İbrahim, ve Çiğdem Atakut. “Rate of Convergence for Modified Srivastava–Gupta Type Operators”. Turkish Journal of Mathematics and Computer Science 7, Aralık (Aralık 2017): 10-15.
EndNote Büyükyazıcı İ, Atakut Ç (01 Aralık 2017) Rate of convergence for modified Srivastava–Gupta type operators. Turkish Journal of Mathematics and Computer Science 7 10–15.
IEEE İ. Büyükyazıcı ve Ç. Atakut, “Rate of convergence for modified Srivastava–Gupta type operators”, TJMCS, c. 7, ss. 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 (Aralık 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 ve Çiğdem Atakut. “Rate of Convergence for Modified Srivastava–Gupta Type Operators”. Turkish Journal of Mathematics and Computer Science, c. 7, 2017, ss. 10-15.
Vancouver Büyükyazıcı İ, Atakut Ç. Rate of convergence for modified Srivastava–Gupta type operators. TJMCS. 2017;7:10-5.