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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 2, Pages 283–292
DOI: https://doi.org/10.1070/SM1993v076n02ABEH003413 (Mi sm1054) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Cubature formulas for classes of functions with bounded mixed difference

V. V. Dubinin
English version PDF (394 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM1993v076n02ABEH003413
Abstract: Cubature formulas are considered for classes of functions with bounded mixed difference. The correct order is found for the error of optimal cubature formulas that use the values of the functions at particular points. It turns out that, for the classes indicated above, cubature formulas constructed with the help of number-theoretic methods are optimal (in the sense of order).
Received: 08.04.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 7, Pages 23–34
Bibliographic databases:
UDC: 517.5
MSC: 65D32
Language: English
Original paper language: Russian
Citation: V. V. Dubinin, “Cubature formulas for classes of functions with bounded mixed difference”, Mat. Sb., 183:7 (1992), 23–34; Russian Acad. Sci. Sb. Math., 76:2 (1993), 283–292
Citation in format AMSBIB
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\by V.~V.~Dubinin
\paper Cubature formulas for classes of functions with bounded mixed difference
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\yr 1992
\vol 183
\issue 7
\pages 23--34
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\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 2
\pages 283--292
\crossref{https://doi.org/10.1070/SM1993v076n02ABEH003413}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MK59600002}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:398
    Russian version PDF:123
    English version PDF:11
    References:62
    First page:1
     
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