Rate of convergence for modified Srivastava–Gupta type operators
Year 2017,
Volume: 7, 10 - 15, 19.12.2017
İbrahim Büyükyazıcı
,
Çiğdem Atakut
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
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- 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.
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- 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
İbrahim Büyükyazıcı
,
Çiğdem Atakut
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.