On the Durrmeyer type modification of the q-Baskakov type operators

Gupta, Vijay/0000-0002-5768-5763WOS: 000273188500004This 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, infinity). An estimate for the rate of convergence and weighted approximation properties are also obtained. (C) 2009 Elsevier Ltd. All rights reserved