Approximation by α-Baskakov−Jain type operators-Reference-Cited by-同舟云学术

Approximation by α-Baskakov−Jain type operators

Published:2022 Issue:5 Volume:36 Page:1733-1741
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kajla Arun¹,Mohiuddine S.A.²,Alotaibi Abdullah³

Affiliation:

1. Department of Mathematics, Central University of Haryana, Haryana, India

2. Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah , Saudi Arabia + Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah Saudi Arabia

3. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah Saudi Arabia

Abstract

In this manuscript, we consider the Baskakov-Jain type operators involving two parameters ? and ?. Some approximation results concerning the weighted approximation are discussed. Also, we find a quantitative Voronovskaja type asymptotic theorem and Gr?ss Voronovskaya type approximation theorem for these operators. Some numerical examples to illustrate the approximation of these operators to certain functions are also given.

Publisher

National Library of Serbia

Subject

General Mathematics

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