Approximation properties of q-Baskakov-Durrmeyer-Stancu operators

Abstract

Purpose: The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operatorsℒn,q(α,β). Results: We studied better error estimations for these operators using King type approach. Conclusions: The results proposed here are new and have a better rate of convergence. MSC 2000: Primary 41A 25,41A 35.