The Durrmeyer type modification of the q-Baskakov type operators with two parameter α and β

Abstract

In this paper, we are dealing with q analogue of Durrmeyer type modified the Baskakov operators with two parameter ? and β, which introduces a new sequence of positive linear q-integral operators. We show that this sequence is an approximation process in the polynomial weighted space of continuous function defined on the interval [0, ?). We study moments, weighted approximation properties, the rate of convergence using a weighted modulus of smoothness, asymptotic formula and better error estimation for these operators.