q-Parametric Bleimann Butzer and Hahn Operators

Abstract

We introduce a new q -parametric generalization of Bleimann, Butzer, and Hahn operators in [superscript]C1+x*[/superscript] [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