A short note on approximation properties of Stancu generalization of q-Durrmeyer operators

Abstract

In the present paper, we introduce a simple Stancu generalization of q-analogue of well-known Durrmeyer operators. We first estimate moments of q-Durrmeyer-Stancu operators. We also establish the rate of convergence as well as Voronovskaja type asymptotic formula for q-Durrmeyer-Stancu operators. © 2013 Mishra and Patel; licensee Springer.