Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 852897, 10 pages
doi:10.1155/2009/852897
Research Article

Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

Lingju Chen1 and Xiao-Ming Zeng2

1Department of Mathematics, Minjiang University, Fuzhou 350108, China
2Department of Mathematics, Xiamen University, Xiamen 361005, China

Received 28 September 2009; Accepted 16 November 2009

Academic Editor: Vijay Gupta

Copyright © 2009 Lingju Chen and Xiao-Ming Zeng. 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

A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied. An estimate on the rate of convergence of the operators Jn for functions of bounded variation is obtained.