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Abstrakty
In the present paper we introduce a simple integral modification of Meyer-Konig and Zeller operators and study their rate of convergence, for functions of bounded variation.
Czasopismo
Rocznik
Tom
Strony
15--23
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sectior-3, Dwarka, New Delhi-110045, India
autor
- Fachbereich MND, Fachhochschule Giessen-Friedberg, University of Applied Sciences, Wilhelm-Leuschner-Straße 13, 61169 Friedberg, Germany
Bibliografia
- [1] R.A. DeVore, The approximation of continuous functions by positive linear operators, Lecture Notes in Math., Springer, New York, 1972.
- [2] E.R. Love, G. Prasad, A. Sahai, An improved estimate of the rate of convergence of the integrated Meyer-König and Zeller operators for functions of bounded variation, J. Math. Anal. Appl. 187(1994), 1-16.
- [3] S. Guo, Degree of approximation to functions of bounded variation by certain operators, Approx. Theory and its Appl. 4(2)(1988), 9-18.
- [4] S. Guo, On the rate of convergence of the integrated Meyer-König and Zeller operators for functions of bounded variation, J. Approx. Theory 56(1989), 245-255.
- [5] V. 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.
- [6] V. Gupta, A. Ahmad, An improved estimate on the degree of approximation to functions of bounded variation by certain operators, Revista Colombiana de Matematicas 29(1995), 119-126.
- [7] X.M. Zeng, Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions, J. Math. Anal. Appl. 219(1998), 364-376.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0042-0002