APPROXIMATION OF FUNCTIONS ON THE SPHERE

Autor:	P I Lizorkin, S M Nikol'skiĭ
Rok vydání:	1988
Předmět:	Smoothness (probability theory) Basis (linear algebra) Geodesic Spin-weighted spherical harmonics Metric (mathematics) Mathematical analysis Spherical harmonics General Medicine Function (mathematics) Fuzzy sphere Mathematics
Zdroj:	Mathematics of the USSR-Izvestiya. 30:599-614
ISSN:	0025-5726
Popis:	The authors consider classes of functions on a sphere , whose smoothness is determined by the properties of differences along geodesics (duly averaged) in the metric of . An integral representation of a function is obtained in terms of the differences mentioned. On this basis direct and inverse theorems on approximation of functions be polynomials in spherical harmonics are established. These theorems completely characterize the class . Bibliography: 9 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e16435d8454c12635109a390635cb129 https://doi.org/10.1070/im1988v030n03abeh001032 Zobrazit plný text záznamu