On the q-parametric Stancu type Dunkl generalization of the Kantorovich-Szasz-Mirakjan operators

Abstract

In this paper we construct the Stancu type q-Kantrovich-Szasz-Mirakjan operators generated by Dunkl generalization of the exponential function. We obtain some approximation results using the Korovkin approximation theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence for functions belonging to the Lipschitz class. Furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity.