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Matematicheskie Zametki, 1968, Volume 3, Issue 5, Pages 565–576 (Mi mzm6715)  

This article is cited in 17 scientific papers (total in 17 papers)

Best cubature formulas for some classes of functions of many variables

N. P. Korneichuk

Dnepropetrovsk State University
Abstract: The problem of minimizing the error in the cubature formula for a given class of functions is considered. For cubature formulas with a lattice arrangement of points this problems is solved exactly for a wide class of functions of $m$ variables.
Received: 08.12.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 5, Pages 360–367
DOI: https://doi.org/10.1007/BF01150990
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. P. Korneichuk, “Best cubature formulas for some classes of functions of many variables”, Mat. Zametki, 3:5 (1968), 565–576; Math. Notes, 3:5 (1968), 360–367
Citation in format AMSBIB
\Bibitem{Kor68}
\by N.~P.~Korneichuk
\paper Best cubature formulas for some classes of functions of many variables
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 5
\pages 565--576
\mathnet{http://mi.mathnet.ru/mzm6715}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=227679}
\zmath{https://zbmath.org/?q=an:0169.07802|0164.36402}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 5
\pages 360--367
\crossref{https://doi.org/10.1007/BF01150990}
Linking options:
  • https://www.mathnet.ru/eng/mzm6715
  • https://www.mathnet.ru/eng/mzm/v3/i5/p565
  • This publication is cited in the following 17 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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