Approximation by Phillips operators via q-Dunkl generalization based on a new parameter

In the present article we study the approximation properties of Phillips operators by q-Dunkl generalization. We construct the operators in a new q-Dunkl form and obtain the approximation properties in weighted function space. We give the rate of convergence in terms of Lipschitz class by initiate the modulus of continuity and finally, we present some direct theorems in Peetre’s K -functional.