Adaptation of the Kantorovich Type Integral to the Dunkl Operator

Abstract

The purpose of this article is to show the adaptation of the Kantorovich type integral to the Dunkl operator. This article gives a sequence of operators to get an approximation result. The variant of the operator which is the Kantorovich type integral has been given and examined the approximation ratio by the first and second order modulus of continuity. The approximation order of the operators is shown by the first order modulus of continuity and the Lipschitz class functions.