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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access August 25, 2015

Certain Generalized q-Operators

  • Om Prakash EMAIL logo , Diwaker Sharma and Prerna Maheshwari
From the journal Demonstratio Mathematica

Abstract

The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers. This paper is the extension of the paper [15], in which Durrmeyer type generalization of q-Baskakov-Stancu type operators were discussed by using the concept of q-integral operators. Here, we propose to study the Stancu variant of q-Baskakov-Stancu type operators. We establish an estimate for the rate of convergence in terms of modulus of continuity and weighted approximation properties of these operators.

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Received: 2014-1-7
Revised: 2014-7-10
Published Online: 2015-8-25
Published in Print: 2015-9-1

© by Om Prakash

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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