Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 158219, 7 pages
doi:10.1155/2011/158219
Research Article

𝐿 𝑝 Approximation by Multivariate Baskakov-Durrmeyer Operator

Feilong Cao and Yongfeng An

Department of Mathematics, China Jiliang University, Hangzhou 310018, Zhejiang Province, China

Received 14 November 2010; Accepted 17 January 2011

Academic Editor: Jewgeni Dshalalow

Copyright © 2011 Feilong Cao and Yongfeng An. 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

The main aim of this paper is to introduce and study multivariate Baskakov-Durrmeyer operator, which is nontensor product generalization of the one variable. As a main result, the strong direct inequality of 𝐿 𝑝 approximation by the operator is established by using a decomposition technique.