APPROXIMATION BY A FAMILY OF SUMMATION-INTEGRAL TYPE OPERATORS PRESERVING LINEAR FUNCTIONS

Brijesh Kumar, Meenu Goyal

Abstract


In the present work, we investigate the approximation properties of a family of many well-known linear positive operators. A quantitative asymptotic formula is derived for functions of polynomial growth by these operators. We study some Voronovskaja type approximation theorems in weighted space and also prove Gr\"{u}ss Voronovskaja type theorem.

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