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Journals / Turkish Journal of Mathematics and Computer Science / 2017 / Cilt: 7

Rate of convergence for modified Srivastava–Gupta type operators

İbrahim BÜYÜKYAZICI
Çiğdem ATAKUT
Pages
10–15
Publication Date
2017-12-19
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Srivastava - Gupta operators · Modulus of continuity · Peetre K- functional

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.

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Cite This Article

BÜYÜKYAZICI, İ., ATAKUT, Ç. (2017). Rate of convergence for modified Srivastava–Gupta type operators. Turkish Journal of Mathematics and Computer Science, Cilt: 7, 10–15. https://ajindex.com/articles/705426

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References (9)

  1. 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.
  2. DeVore, R.A., Lorentz, G.G., Constructive Approximation, Springer, Berlin, 1993.
  3. 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.
  4. 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.
  5. Malik, N., Some approximation properties for generalized Srivastava–Gupta operators, Applied Mathematics and Computation, 269(2015), 747–758.
  6. 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.
  7. Sharma, P.M., On modified Srivastava–Gupta operators, Filomat, 29(6)(2015), 1173–1177.
  8. Srivastava, H.M., Gupta, V., A certain family of summation–integral type operators, Mathematical and Computer Modelling, 37(2003), 1307-1315.
  9. 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.