dc.contributor.author
Dyachenko, M. I.
dc.contributor.author
Mukanov, A.B.
dc.contributor.author
Tikhonov, S. Yu.
dc.date.accessioned
2020-11-26T09:50:51Z
dc.date.accessioned
2024-09-19T14:31:02Z
dc.date.available
2020-11-26T09:50:51Z
dc.date.available
2024-09-19T14:31:02Z
dc.date.issued
2019-01-01
dc.identifier.uri
http://hdl.handle.net/2072/378008
dc.description.abstract
We consider functions represented as trigonometric series with general monotone Fourier coefficients. The main result of the paper is the equivalence of the $L_p$ modulus of smoothness, $1< p<\infty$, of such functions to certain sums of their Fourier coefficients. As applications, for such functions we give a description of the norm in the Besov space and sharp direct and inverse theorems in approximation theory.
eng
dc.format.extent
1019 p.
cat
dc.relation.ispartof
Sbornik: Mathematics (IOP Science)
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Matemàtiques
cat
dc.title
Smoothness of functions and Fourier coefficients
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1070/sm9096
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
