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

N. I. Mahmudov and P. Sabancıgil

 Eastern Mediterranean University, Gazimagusa, Turkish Republic of Northern Cyprus, Mersin 10, Turkey
Received 4 June 2008; Accepted 20 August 2008

Recommended by Vijay Gupta

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.