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

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. (C) 2015 Mathematical Institute Slovak Academy of Sciences