PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 72(86), pp. 137-143 (2002)

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RATE OF CONVERGENCE OF THE SZASZ-KANTOROVITCH-BEZIER OPERATORS FOR BOUNDED VARIATION FUNCTIONS

Vijay Gupta, Vipin Vasishtha, and M. K. Gupta

School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, Azad Hind Fauj Marg, New Delhi 110045, India
Department of Mathematics, Hindu College, Moradabad-244001, India
Department of Mathematics, Ch. Chran Singh University, Meerut-250004, India

Abstract: We introduce the Szasz-Kantorovitch-Bezier operators $\hat S_{n,\alpha} $ which is the modified form of Szasz-Kantorovitch operators and study the rate of convergence of bounded variation functions for these operators.

Keywords: rate of convergence; bounded variation; Berry Esseen theorem; total variation; linear positive operators

Classification (MSC2000): 41A25; 41A30

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Electronic version published on: 23 Nov 2003. This page was last modified: 24 Nov 2003.

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