Approximation Theorems for Kantorovich Type Favard-Szasz Operators Based on q-Integers

Abstract

In this paper we introduce the q-analogue of Kantorovich generalization of Favard-Szasz type operators and investigate their approximation properties. We first give basic convergence results by using Korovkin's Theorem and then estimate the rate of convergence by using modulus of continuity. We also give a local approximation theorem and study weighted approximation properties of these new operators.