Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator

Larbi Rakhimi; Radouan Daher

doi:10.2478/tmmp-2022-0008

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Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator

Tatra Mountains Mathematical Publications

Volume 81 (2022): Issue 1 (November 2022)

By: Larbi Rakhimi and Radouan Daher

Open Access

|Nov 2022

Abstract

In this paper, we prove the equivalence between a K-functional and a modulus of smoothness generated by Laguerre-Bessel operator on $𝕂 = [0, + \infty [\times [0, + \infty [.$ \mathbb{K} = [0, + \infty [ \times [0, + \infty [.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2022-0008 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 107 - 116

Submitted on: Jun 25, 2022

Published on: Nov 29, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Laguerre-Bessel transform,

Generalized translation operator,

Jackson’s theorems,

K-functional,

modulus of smoothness

Related subjects:

Mathematics,

General mathematics

© 2022 Larbi Rakhimi, Radouan Daher, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 81 (2022): Issue 1 (November 2022)