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

Abstract

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