q-Parametric Bleimann Butzer and Hahn Operators

Abstract

We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C∗ 1x0, ∞ . 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 qBBH 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.