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Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$
- Source :
- Comptes Rendus. Mathématique, Vol 361, Iss G10, Pp 1625-1633 (2023)
- Publication Year :
- 2023
- Publisher :
- Académie des sciences, 2023.
-
Abstract
- 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 $(-1,1)$.
Details
- Language :
- English, French
- ISSN :
- 17783569
- Volume :
- 361
- Issue :
- G10
- Database :
- Directory of Open Access Journals
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.3a138104ce6a4b33b0bdeceaf3b095e8
- Document Type :
- article
- Full Text :
- https://doi.org/10.5802/crmath.517