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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2023, Volume 23, Issue 2, Pages 142–156
DOI: https://doi.org/10.18500/1816-9791-2023-23-2-142-156 (Mi isu974) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Mathematics

On estimates of the order of the best $M$-term approximations of functions of several variables in the anisotropic Lorentz – Zygmund space

G. Akishev

Kazakhstan Branch of Lomonosov Moscow State University, 11 Kazhymukan St., Astana 100008, Kazakhstan
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DOI: https://doi.org/10.18500/1816-9791-2023-23-2-142-156
Abstract: The article considers the anisotropic Lorentz – Karamata space of periodic functions of several variables and the Nikol'skii – Besov class in this space. The order-sharp estimates are established for the best $M$-term trigonometric approximations of functions from the Nikol'skii-Besov class in the norm of another Lorentz – Zygmund space.
Key words: Lorentz – Zygmund space, Nikol'skii – Besov class, $M$-term approximation.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP 08855579
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP 08855579).
Received: 24.02.2022
Accepted: 01.11.2022
Document Type: Article
UDC: 517.51
Language: Russian
Citation: G. Akishev, “On estimates of the order of the best $M$-term approximations of functions of several variables in the anisotropic Lorentz – Zygmund space”, Izv. Saratov Univ. Math. Mech. Inform., 23:2 (2023), 142–156
Citation in format AMSBIB
\Bibitem{Aki23}
\by G.~Akishev
\paper On estimates of the order of the best $M$-term approximations of~functions of several variables in the anisotropic Lorentz -- Zygmund space
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2023
\vol 23
\issue 2
\pages 142--156
\mathnet{http://mi.mathnet.ru/isu974}
\crossref{https://doi.org/10.18500/1816-9791-2023-23-2-142-156}
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