dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Simonov, Boris V. |
dc.contributor.author |
Tikhonov, Sergey Yu. |
dc.date.accessioned |
2005-11-25T11:32:22Z |
dc.date.available |
2005-11-25T11:32:22Z |
dc.date.issued |
2005-10 |
dc.identifier.uri |
http://hdl.handle.net/2072/1186 |
dc.format.extent |
353495 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;649 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject |
Fourier, Sèries de |
dc.subject |
Funcions diferenciables |
dc.title |
Embedding theorems of funcitional classes, III |
dc.type |
info:eu-repo/semantics/preprint |
dc.description.abstract |
In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol'skii class and the generalized Lipschitz class. To define the Weyl-Nikol'skii class, we use the concept of a (λ,β)-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, we give estimates of norms and moduli of smoothness of transformed Fourier series. |