Approximation on a class of Phillips operators generated by q-analogue

Abstract

Abstract The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate of convergence in terms of the modulus of continuity of order one and two. Moreover, we obtain some direct theorems.

Keywords

• Bernstein operator
• Szász operator
• q-Phillips operator
• Dunkl analogue
• Modulus of continuity
• Weighted modulus of continuity