Open AccessArticle

Approximation by sequences of q-Szasz-operators generated by Dunkl exponential function

and

1Department of Mathematics, Faculty of Science, University of Tabuk, PO Box-4279, Tabuk71491, Saudi Arabia.2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India.

* Corresponding Author: Md. Nasiruzzaman. Email: nasir3489@gmail.com

Annals of Communications in Mathematics 2023, 6 (4), 238-246. https://doi.org/10.62072/acm.2023.060404

Received: 29 September 2023 |

Accepted: 30 November 2023 |

Published: 31 December 2023

Download PDF

Abstract

The main purpose of this article is to introduce a modification of q-Dunkl generalization of Szasz-operators. We obtain approximation results via well known Korovkin’s type theorem. Moreover, we obtain the order of approximation, rate of convergence, functions belonging to the Lipschitz class and some direct theorems.

Keywords

Dunkl analogue; Modulus of continuity; Peetre’s K-functional; q-integers; q-Szasz-Mirakjan-Kantrovich; Szasz operator

Cite This Article

M. Nasiruzzaman and M. Mursaleen.

Approximation by sequences of q-Szasz-operators generated by Dunkl exponential function.

Annals of Communications in Mathematics

2023,

6 (4):

238-246.

https://doi.org/10.62072/acm.2023.060404

Copyright © 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/).