Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 816367, 15 pages
doi:10.1155/2008/816367
Research Article
q-Parametric Bleimann Butzer and Hahn Operators
Eastern Mediterranean University, Gazimagusa, Turkish Republic of Northern Cyprus, Mersin 10, Turkey
Received 4 June 2008; Accepted 20 August 2008
Academic Editor: Vijay Gupta
Copyright © 2008 N. I. Mahmudov and P. Sabancıgil. 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 introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators
in C1+x*[0,∞). We study some properties of q-BBH operators and establish
the rate of convergence for q-BBH operators. We discuss Voronovskaja-type theorem
and saturation of convergence for q-BBH operators for arbitrary fixed 0<q<1. We
give explicit formulas of Voronovskaja-type for the q-BBH operators for 0<q<1.
Also, we study convergence of the derivative of q-BBH operators.