Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 702680, 7 pages
doi:10.1155/2009/702680
Research Article

A New Estimate on the Rate of Convergence of Durrmeyer-Bézier Operators

Pinghua Wang1 and Yali Zhou2

1Department of Mathematics, Quanzhou Normal University, Fujian 362000, China
2Liming University, Quanzhou, Fujian 362000, China

Received 20 February 2009; Accepted 13 April 2009

Academic Editor: Vijay Gupta

Copyright © 2009 Pinghua Wang and Yali Zhou. 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 obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the result of Zeng and Chen (2000).