Local approximation properties for certain King type operators

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UNIV NIS, FAC SCI MATH

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info:eu-repo/semantics/closedAccess

Abstract

In this paper, we consider a certain King type operators which includes general families of Szasz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which provides global approximation for the above mentioned operators, we obtain the rate of convergence of this class. Furthermore, we give local approximation results by using the first and the second modulus of continuity.

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Keywords

Baskakov operators, Lipschitz type space, Szász-Mirakjan operators,, Post-Widder operators, Positive linear operators, Stancu operators, Modulus of continuity,, MIRAKJAN TYPE OPERATORS, LINEAR-OPERATORS, modulus of continuity, ERROR ESTIMATION

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Filomat

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27

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1

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