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2021 Equivalence of K-Functionals and Modulus of Smoothness Constructed by Cherednik-Opdam transform
Mohamed El Hamma, Radouan Daher, Nisrine Djellab
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Nihonkai Math. J. 32(2): 79-89 (2021).

Abstract

In this paper, we prove the equivalence between a K-functionals constructed by the Sobolev space corresponding to the Laplace Cherednik-Opdam operator and a modulus of smoothness for the Cherednik-Opdam transform.

Acknowledgments

The authors would like to thank the referees for their valuable comments and suggestions.

Dedication

This paper is dedicated to the memory of Professor Brahim Bouya.

Citation

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Mohamed El Hamma. Radouan Daher. Nisrine Djellab. "Equivalence of K-Functionals and Modulus of Smoothness Constructed by Cherednik-Opdam transform." Nihonkai Math. J. 32 (2) 79 - 89, 2021.

Information

Received: 2 April 2021; Revised: 1 September 2021; Published: 2021
First available in Project Euclid: 3 May 2022

Subjects:
Primary: 42B37

Keywords: generalized translation operator , K-functional , modulus of smoothness

Rights: Copyright © 2021 Niigata University, Department of Mathematics

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Vol.32 • No. 2 • 2021
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