A new modification of Durrmeyer type mixed hybrid operators Article Swipe

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Arun Kajla , Tuncer Acar ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.37193/cjm.2018.01.05 · OA: W3153772647

In 2008 V. Mihes¸an constructed a general class of linear positive operators generalizing the Szasz 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.