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Matematicheskie Zametki, 1974, Volume 15, Issue 5, Pages 749–756 (Mi mzm7402)  
This article is cited in 1 scientific paper (total in 1 paper)

On the error made in recovering functions of a certain class on parallelepiped-type grids

Yu. N. Shakhov

Moscow Pedagogic Institute, USSR
Full-text PDF (423 kB) Citations (1) English version article
Abstract: We derive (according to the number of tabular nodes) an asymptotic upper bound to the recovery error made on a class of functions of several variables whose mixed derivative is periodic in each variable and satisfies a multiple Lipschitz condition. As the tabular nodes we consider the vertices of a parallelepiped-type grid constructed with optimal coefficients.
Received: 24.01.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 5, Pages 448–452
DOI: https://doi.org/10.1007/BF01152782
Bibliographic databases:
UDC: 511
Language: Russian
Citation: Yu. N. Shakhov, “On the error made in recovering functions of a certain class on parallelepiped-type grids”, Mat. Zametki, 15:5 (1974), 749–756; Math. Notes, 15:5 (1974), 448–452
Citation in format AMSBIB
\Bibitem{Sha74}
\by Yu.~N.~Shakhov
\paper On the error made in recovering functions of a~certain class on parallelepiped-type grids
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 5
\pages 749--756
\mathnet{http://mi.mathnet.ru/mzm7402}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=407508}
\zmath{https://zbmath.org/?q=an:0304.42002|0296.42001}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 5
\pages 448--452
\crossref{https://doi.org/10.1007/BF01152782}
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  • https://www.mathnet.ru/eng/mzm/v15/i5/p749
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :101
    References:4
    First page:1
     
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