Open Access Research Article

Approximation by Multivariate Baskakov-Durrmeyer Operator

Feilong Cao* and Yongfeng An

Author Affiliations

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

For all author emails, please log on.

Journal of Inequalities and Applications 2011, 2011:158219 doi:10.1155/2011/158219

Published: 13 February 2011

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 approximation by the operator is established by using a decomposition technique.