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Izvestiya: Mathematics, 1998, Volume 62, Issue 1, Pages 19–53
DOI: https://doi.org/10.1070/im1998v062n01ABEH000182 (Mi im182) 		 
This article is cited in 29 scientific papers (total in 29 papers)

The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points

S. N. Kudryavtsev
English version PDF (327 kB) Citations (29)
References:
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DOI: https://doi.org/10.1070/im1998v062n01ABEH000182
Abstract: We find the order of the best accuracy of reconstruction of functions in the Nikolskii and Besov classes (along with their derivatives up to a certain order) from their values at a given number of points.
Received: 06.02.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 1, Pages 21–58
DOI: https://doi.org/10.4213/im182
Bibliographic databases:
MSC: 41A63, 41A46
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points”, Izv. RAN. Ser. Mat., 62:1 (1998), 21–58; Izv. Math., 62:1 (1998), 19–53
Citation in format AMSBIB
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\by S.~N.~Kudryavtsev
\paper The best accuracy of reconstruction of finitely smooth functions from their values at a~given number of points
\jour Izv. RAN. Ser. Mat.
\yr 1998
\vol 62
\issue 1
\pages 21--58
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\zmath{https://zbmath.org/?q=an:0944.41013}
\transl
\jour Izv. Math.
\yr 1998
\vol 62
\issue 1
\pages 19--53
\crossref{https://doi.org/10.1070/im1998v062n01ABEH000182}
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Linking options:
  • https://www.mathnet.ru/eng/im182
  • https://doi.org/10.1070/im1998v062n01ABEH000182
  • https://www.mathnet.ru/eng/im/v62/i1/p21
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:514
    Russian version PDF:215
    English version PDF:20
    References:64
    First page:1
     
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