On the Durrmeyer type modification of the [formula omitted]-Baskakov type operators

Abstract

This paper deals with Durrmeyer type generalization of q -Baskakov type operators using the concept of q -integral, which introduces a new sequence of positive q -integral operators. We show that this sequence is an approximation process in the polynomial weighted space of continuous functions defined on the interval [ 0 , ∞ ) . An estimate for the rate of convergence and weighted approximation properties are also obtained.