Approximation results on Dunkl generalization of Phillips operators via q-calculus

Abstract

Abstract The main purpose of this paper is to construct q-Phillips operators generated by Dunkl generalization. We prove several results of Korovkin type and estimate the order of convergence in terms of several moduli of continuity.

Keywords

• Szász operator
• Generating functions
• Dunkl analogue
• Generalization of exponential function
• Modulus of continuity
• Weighted modulus of continuity