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

https://doi.org/10.1016/j.jksus.2021.101413Get rights and content
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Abstract

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.

Keywords and phrases

Szász operators
Phillips operators
q-Dunkl analogue
modulus of continuity
weighted modulus of continuity

AMS Subject Classification (2010):

Primary 41A25
41A36
Secondary 33C45

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