Szasz-Kantorovich Type Operators Based on Charlier Polynomials

Abstract

. In the present article, we study some approximation properties of the Kantorovich type generalization of Sz´asz type operators involving Charlier polynomials introduced by S. Varma and F. Ta¸sdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and A -statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.