On the q-parametric Stancu type Dunkl generalization of the Kantorovich-Sz´asz-Mirakjan operators

In this paper we construct the Stancu type q-Kantrovich-Sz´asz-Mirakjan operators generated by Dunkl generalization of the ex-ponential function. We obtain some approximation results using the Korovkin approximation theorem and the weighted Korovkin-type the-orem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence for functions be-longing to the Lipschitz class. Furthermore, we obtain the rate of con-vergence in terms of the classical, the second order, and the weighted modulus of continuity