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

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29 nov. 2022

Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator's Cover Image

Tatra Mountains Mathematical Publications

Édition 81 (2022): Edition 1 (Novembre 2022)

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Publié en ligne: 29 nov. 2022

Pages: 107 - 116

Reçu: 25 juin 2022

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

Mots clés
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 [.

Langue:: Anglais

Périodicité:: 3 fois par an
Sujets de la revue:: Mathématiques, Mathématiques générales

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