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

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| Nov 29, 2022

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Tatra Mountains Mathematical Publications

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

Real Functions, Dynamical Systems and Applications

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Published Online: Nov 29, 2022

Page range: 107 - 116

Received: Jun 25, 2022

DOI: https://doi.org/10.2478/tmmp-2022-0008

Keywords
Laguerre-Bessel transform, Generalized translation operator, Jackson’s theorems, K-functional, modulus of smoothness

© 2022 Larbi Rakhimi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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 [.

eISSN:: 1338-9750
Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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