A new modification of Durrmeyer type mixed hybrid operators


Kajla, Arun and Acar, Tuncer


Abstract

carpathian_2018_34_1_47_56_abstract

In 2008 V. Miheşan constructed a general class of linear positive operators generalizing the Szász operators. In this article, a Durrmeyer variant of these operators is introduced which is a method to approximate the Lebesgue integrable functions. First, we derive some indispensable auxiliary results in the second section. We present a quantitative Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and weighted approximation for these operators. The rate of convergence for differential functions whose derivatives are of bounded variation is also obtained.

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Author(s)

Kajla, Arun, Acar, Tuncer