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Approximation on the Stancu variant of Szasz-Kantorovich operators via Dunkl generalization of post quantum calculus

Department of Mathematics Faculty of Science, University of Tabuk, P.o. Box 741, Tabuk 71491, Saudi Arabia;, [0PT]

Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan;

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India;, [0PT]

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (3),
232-241.
https://doi.org/10.62072/acm.2020.030306
Received: 25 August 2020 |
Accepted: 15 October 2020 |
Published: 31 October 2020

Abstract

Our main purpose of this article is to study the approximation properties of Szasz-Mirakjan-Kantorovich operators by introducing the non negative parameter ´ 0 5 [α]p,q 5 [β]p,q. For this purpose we define the Stancu variant of Szasz-Mirakjan- ´ Kantorovich operators via (p, q)-variant of Dunkl generalization. First we study the Korovkin’s type approximation results in weighted spaces. Finally, we obtain the convergence of our new operators in by use of modulus of continuity in Lipschitz class and Petter’s Kfunctionals. The extra parameter p provides more flexibility and a generalized version in approximation rather than q.

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Cite This Article

Approximation on the Stancu variant of Szasz-Kantorovich operators via Dunkl generalization of post quantum calculus.

Annals of Communications in Mathematics,

2020,
3 (3):
232-241.
https://doi.org/10.62072/acm.2020.030306
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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