Equivalence of K-functionals and modulus of smoothness for Laguerre type operator

Author:

Rakhimi L.ORCID,Daher R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. Peetre, J.: A Theory of Interpolation of Normed Spaces, Notas de Matemática, vol. 39. Instituto de Matemática Pura e Aplicada, Conselho Nacional de Pesquisas, Rio de Janeiro (1968)

2. Faraut, J., Harzallah, K.: Deux cours d’Analyse Harmonique. In: Ecole d’été d’Analyse Harmonique de Tunis. Birkhäuser, Boston (1984)

3. Belkina, E.S., Platonov, S.S.: Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations. Izv. Vyssh. Uchebn. Zaved. Mat. 8, 3–15 (2008). ((in Russian); translation in Russian Math. (Iz. VUZ), 52(2008), 111)

4. El Ouadih, S., Daher, R., El Hamma, M.: Moduli of smoothness and K-functionals in $${\mathbf{L}_{2}}({{R^{+}}_{q}})-space$$ with power weight. Anal. Math. https://doi.org/10.1007/s10476-019-0830-3

5. Hamma, M.E., Daher, R.: Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform. Integral Transforms Spec. Funct. (2019). https://doi.org/10.1080/10652469.2019.1635127

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1. Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup;Journal of Applied Analysis;2024-01-03

2. K-functional related to the Deformed Hankel Transform;Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica;2023-01-01

3. Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator;Tatra Mountains Mathematical Publications;2022-11-01

4. Boas-type theorems for Laguerre type operator;Journal of Pseudo-Differential Operators and Applications;2022-07-29

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