Artículo científico antes de ser publicado, versión del autor (preprint).
2005
Embedding theorems of funcitional classes, III
Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/1186
Recercat. Dipósit de la Recerca de Catalunya
- Simonov, Boris V.
- Tikhonov, Sergey Yu.
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.
DOI: http://hdl.handle.net/2072/1186
Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/1186
HANDLE: http://hdl.handle.net/2072/1186
Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/1186
Ver en: http://hdl.handle.net/2072/1186
Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/1186