Better Approximation of Functions by Genuine Baskakov Durrmeyer Operators

Year 2020, Issue: 30, 1 - 7, 26.03.2020

Gülsüm Ulusoy Ada

Abstract

In this paper, we define a new genuine Baskakov-Durrmeyer operators.
We give uniform convergence using the weighted modulus of continuity. Then we
study direct approximation of the operators in terms of the moduli of smoothness.
After that a Voronovskaya type result is studied.

Keywords

Genuine Baskakov Durrmeyer operators, weighted modulus of continuity, Voronovskaya theorem

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