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On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators

  • Tuncer Acar EMAIL logo , Ali Aral and Vijay Gupta
From the journal Mathematica Slovaca

Abstract

The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for these operators in terms of modulus of continuity. We obtain an asymptotic formula for these operators and in the last section we present better error estimation for the operators using King type approach

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Received: 2012-8-22
Accepted: 2012-7-12
Published Online: 2015-12-9
Published in Print: 2015-10-1

Mathematical Institute Slovak Academy of Sciences

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