Acta Mathematica Vietnamica

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On approximation of certain integral operators
Vijay Gupta, Rani Yadav

 

Abstract

In the present paper we introduce the summation-integral type modified Lupas operators with weights of Beta basis functions. We define the operators in terms of hypergeometric series and, using such an approach, establish moments. Our main results are an asymptotic formula and an error estimate in terms of modulus of continuity and weighted approximation and rate of convergence for functions having bounded derivatives.

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