Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators

Chandra Prakash; Durvesh Kumar Verma; Naokant Deo

doi:10.3934/mfc.2022034

Article Contents

2023, Volume 6, Issue 3: 535-545. Doi: 10.3934/mfc.2022034

This issue Previous Article Approximation properties of exponential type operators connected to

$p(x) = 2x^{3/2}$ Next Article The family of

$\lambda$ -Bernstein-Durrmeyer operators based on certain parameters

Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators

1.
Department of Mathematics, Delhi Technological University, Delhi-110042, India
2.
Department of Mathematics, Miranda House, University of Delhi, Delhi-110007, India

^*Corresponding author: Chandra Prakash
^*Corresponding author: Chandra Prakash

This article is dedicated to Professor Vijay Gupta on the Occasion of his 60th Birthday

Received: June 2022

Revised: September 2022

Early access: September 2022

Published: August 2023

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Abstract

In this paper, we are dealing with Cheney-Sharma Chlodovsky Durrmeyer operators and studying their approximation properties. The Bohman-Korovkin theorem is verified and estimated the convergence properties using of modulus of continuity, Lipschitz- type space, and Ditzian-Totik modulus of continuity. After that, the weighted approximation result is also given. Finally, some results related to the A-statistical convergence of the operators are obtained.

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Mathematics Subject Classification: Primary: 26A15, 41A25; Secondary: 40A35.

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