Geodesic
Analyse harmonique
Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval (-1,1)
Saadi, Faouaz1  ; Daher, Radouan1
1 Department of Mathematics, Laboratory of Topology, Algebra, Geometry, and Discrete Mathematics, Faculty of Sciences Aïn Chock University Hassan II, Casablanca, Morocco
Comptes Rendus. Mathématique, Tome 361 (2023) no. G10, pp. 1625-1633

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Our aim in this paper is to show that the modulus of smoothness and the K-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval (-1,1).

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DOI : 10.5802/crmath.517
Classification : 43A30, 46E35, 33D60
Keywords: Fourier–Dunkl series, Dunkl transform, generalized translation operator, $K$-functionals, modulus of smoothness

Saadi, Faouaz 1 ; Daher, Radouan 1

1 Department of Mathematics, Laboratory of Topology, Algebra, Geometry, and Discrete Mathematics, Faculty of Sciences Aïn Chock University Hassan II, Casablanca, Morocco
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Equivalence of {K-functionals} and modulus of smoothness generated by a {Dunkl} type operator on the interval $(-1, 1)$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1625--1633},
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Saadi, Faouaz; Daher, Radouan. Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$. Comptes Rendus. Mathématique, Tome 361 (2023) no. G10, pp. 1625-1633. doi: 10.5802/crmath.517

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