K-functional related to the Deformed Hankel Transform

Larbi Rakhimi; Abdelmajid Khadari; Radouan Daher

doi:10.2478/aupcsm-2023-0002

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K-functional related to the Deformed Hankel Transform

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Larbi Rakhimi, Abdelmajid Khadari and Radouan Daher

Open Access

|Apr 2023

Abstract

The main result of the paper is the proof of the equivalence theorem for a K-functional and a modulus of smoothness for the Deformed Hankel Transform. Before that, we introduce the K-functional associated to the Deformed Hankel Transform.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2023-0002 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 13 - 20

Submitted on: May 30, 2022

Accepted on: Feb 25, 2023

Published on: Apr 3, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Deformed Hankel transform,

generalized translation operator,

Jackson’s direct theorems,

K-Functionals,

Modulus of smoothness

Related subjects:

Mathematics,

General mathematics

© 2023 Larbi Rakhimi, Abdelmajid Khadari, Radouan Daher, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 22 (2023): Issue 1 (January 2023)