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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 51–67 (Mi semr91)  

This article is cited in 1 scientific paper (total in 1 paper)

Research papers

On degree of approximation of classes in Lorentz space

G. A. Akishev

E. A. Buketov Karaganda State University
Full-text PDF (773 kB) Citations (1)
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Abstract: In this paper the anisotropic Lorentz space of periodic functions is considered. The sufficient condition embedding classes in Lorentz spaces are obtained.We establish the upper estimate of the order of approximation O. V. Besov’s classes by trigonometric polynomials in Lorentz spaces with anisotropic norm.
Received June 29, 2007, published March 10, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 42A30
Language: Russian
Citation: G. A. Akishev, “On degree of approximation of classes in Lorentz space”, Sib. Èlektron. Mat. Izv., 5 (2008), 51–67
Citation in format AMSBIB
\Bibitem{Aki08}
\by G.~A.~Akishev
\paper On degree of approximation of classes in Lorentz space
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 51--67
\mathnet{http://mi.mathnet.ru/semr91}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586622}
\elib{https://elibrary.ru/item.asp?id=11928964}
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  • https://www.mathnet.ru/eng/semr/v5/p51
  • This publication is cited in the following 1 articles:
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