Rate of convergence of bounded variation functions by a B&#233;zier-Durrmeyer variant of the Baskakov operators

Gupta, Vijay; Abel, Ulrich

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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9, Pages 459-468
doi:10.1155/S0161171204205038

Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators

Vijay Gupta¹ and Ulrich Abel²

¹School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector-3, Dwarka 110045, New Delhi, India
²Fachbereich MND, Fachhochschule Giessen-Friedberg, University of Applied Sciences, Wilhelm-Leuschner-Straße 13, Friedberg 61169, Germany

Received 6 May 2002

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a Bézier-Durrmeyer integral variant of the Baskakov operators and study the rate of convergence for functions of bounded variation.