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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 371–375 (Mi mzm7964)  
This article is cited in 2 scientific papers (total in 2 papers)

A lower bound for the error of a formula for approximate summation in the class $E_{s,p}(C)$

I. F. Sharygin

Moscow Institute of Control
Full-text PDF (340 kB) Citations (2)
Abstract: The error of a formula for approximate summation in the class $E_{s,p}(C)$ over an arbitrary mesh containing p base-points is shown to be not less than $C_1\ln^sp/p$. This estimate has the same order as the error of the optimal parallelepiped mesh in this class.
Received: 18.02.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 207–210
DOI: https://doi.org/10.1007/BF01106745
Bibliographic databases:
UDC: 517.3
Language: Russian
Citation: I. F. Sharygin, “A lower bound for the error of a formula for approximate summation in the class $E_{s,p}(C)$”, Mat. Zametki, 21:3 (1977), 371–375; Math. Notes, 21:3 (1977), 207–210
Citation in format AMSBIB
\Bibitem{Sha77}
\by I.~F.~Sharygin
\paper A~lower bound for the error of a~formula for approximate summation in the class $E_{s,p}(C)$
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 371--375
\mathnet{http://mi.mathnet.ru/mzm7964}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=458815}
\zmath{https://zbmath.org/?q=an:0401.41034|0368.41028}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 207--210
\crossref{https://doi.org/10.1007/BF01106745}
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  • https://www.mathnet.ru/eng/mzm/v21/i3/p371
    • This publication is cited in the following 2 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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