Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters-Reference-Cited by-同舟云学术

Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters

Published:2022 Issue:4 Volume:36 Page:1179-1194
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ayman Mursaleen Mohammad¹,Kilicman Adem²,Nasiruzzaman Md.³

Affiliation:

1. Department of Mathematics & Statistics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor, Malaysia + School of Information & Physical Sciences, The University of Newcastle, University Drive, Callaghan, NSW, Australia

2. Department of Mathematics & Statistics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor, Malaysia

3. Computational & Analytical Mathematics and Their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

Abstract

Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers. We design the shifted knots of Bernstein-Kantorovich operators generated by the basic q-calculus. More precisely, we study the convergence properties of our new operators in the space of continuous functions and Lebesgue space. We obtain the degree of convergence with the help of modulus of continuity and integral modulus of continuity. Furthermore, we establish the quantitative estimates of Voronovskaja-type.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference29 articles.

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