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Research Article Open access CC BY 4.0

Convergence of Baskakov Durrmeyer Operators in the Reverse Order of q-Analogue

Sangeeta Garg

Journal of Advances in Mathematics and Computer Science · pp. 83–88 · Published 2 May 2023

10.9734/jamcs/2023/v38i71775

Abstract

This research paper is an introduction to a new type of analogue named as Q -analogue for well-known Baskakov Durrmeyer operators. This new type of analogue is considered as reverse order of -analogue. In this paper, we establish the direct approximation theorem, a weighted approximation theorem followed by the estimations of the rate of convergence of these new type of operators for functions of polynomial growth on the interval [0,∞).

Baskakov Durrmeyer operators direct approximation theorem linear positive operators rate of convergence weighted-approximation

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