Open Access

-Parametric Bleimann Butzer and Hahn Operators

Journal of Inequalities and Applications20082008:816367

https://doi.org/10.1155/2008/816367

Received: 4 June 2008

Accepted: 20 August 2008

Published: 27 August 2008

Abstract

We introduce a new -parametric generalization of Bleimann, Butzer, and Hahn operators in . We study some properties of -BBH operators and establish the rate of convergence for -BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for -BBH operators for arbitrary fixed . We give explicit formulas of Voronovskaja-type for the -BBH operators for . Also, we study convergence of the derivative of -BBH operators.

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Authors’ Affiliations

(1)
Eastern Mediterranean University

Copyright

© N. I. Mahmudov and P. Sabancıgil. 2008

This article is published under license to BioMed Central Ltd. 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.