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Izvestiya: Mathematics, 2003, Volume 67, Issue 2, Pages 265–302
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000427 (Mi im427) 		 
This article is cited in 46 scientific papers (total in 46 papers)

Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (384 kB) Citations (46) Russian version article
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DOI: https://doi.org/10.1070/IM2003v067n02ABEH000427
Abstract: We obtain order-exact estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{p,\theta}^r$ of periodic functions of several variables in $L_q$ with certain relations between $p$ and $q$.
Received: 27.07.2001
Bibliographic databases:
UDC: 517.5
MSC: 42B99, 41A46, 41A50
Language: English
Original paper language: Russian
Citation: A. S. Romanyuk, “Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables”, Izv. Math., 67:2 (2003), 265–302
Citation in format AMSBIB
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\by A.~S.~Romanyuk
\paper Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables
\jour Izv. Math.
\yr 2003
\vol 67
\issue 2
\pages 265--302
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  • https://www.mathnet.ru/eng/im/v67/i2/p61
    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:758
    English version PDF:35
    References:209
    First page:1
     
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