A modulus of smoothness on the unit sphere

Name: A modulus of smoothness on the unit sphere
Creator: Ditzian, Z.
Keywords: Approximation by polynomials, Inverse theorems in approximation theory, Marchaud-type inequalities, inverse theorems, approximation by spherical harmonics, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences, moduli of smoothness

Ditzian, Z.

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Journal d Analyse Ma...arrow_drop_down

Journal d Analyse Mathématique

Article . 1999 . Peer-reviewed

License: Springer TDM

Data sources: Crossref

zbMATH Open

Article . 1999

Data sources: zbMATH Open

https://dx.doi.org/10.1007/bf0...

Article

Data sources: Microsoft Academic Graph

A modulus of smoothness on the unit sphere

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1999 English Publisher:Springer Science and Business Media LLCJournal:Journal d'Analyse Mathématique, volume 79, pages 189-200 (issn: 0021-7670, eissn: 1565-8538,

Copyright policy )Funded by:NSERC | unidentified

Authors: Ditzian, Z.;

doi: 10.1007/bf02788240

A modulus of smoothness on the unit sphere

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Abstract

For functions on \(S^{d-1}\) (the unit sphere in \(\mathbb{R}^d\)), and, in particular, for \(f \in L_p(S^{d-1})\), \(0

Related Organizations

University of Alberta
Canada

Keywords

Approximation by polynomials, Inverse theorems in approximation theory, Marchaud-type inequalities, inverse theorems, approximation by spherical harmonics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), moduli of smoothness

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