Approximation by Phillips operators via q-Dunkl generalization based on a new parameter
Abdullah Alotaibi, Md. Nasiruzzaman, M. Mursaleen
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.
Topics & Concepts
GeneralizationMathematicsModulus of continuityLipschitz continuityClass (philosophy)Pure mathematicsConvergence (economics)Space (punctuation)Applied mathematicsRate of convergenceFunction (biology)Mathematical analysisType (biology)Computer scienceEconomicsComputer networkEcologyBiologyOperating systemChannel (broadcasting)Evolutionary biologyArtificial intelligenceEconomic growthApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationMathematical Analysis and Transform Methods