The rate of convergence by a new type of Meyer-König and Zeller operators

• Autorzy: Gupta V. , Abel U.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

approximation of positive operators; rate of convergence; degree of approximation; function of bounded variation; total variation

PL

aproksymacja; szybkość zbieżności; funkcja z ograniczoną wariacją

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 15--23
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Gupta V.

• School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sectior-3, Dwarka, New Delhi-110045, India

autor

Abel U.

• 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.