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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 1, Pages 247–257
DOI: https://doi.org/10.1070/SM1992v071n01ABEH001396
(Mi sm1231)
 

This article is cited in 32 scientific papers (total in 32 papers)

On a way of obtaining lower estimates for the errors of quadrature formulas

V. N. Temlyakov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
References:
Abstract: The purpose of this article is to obtain best possible lower estimates of the errors of quadrature formulas with a fixed number of nodes for classes of functions with bounded mixed derivative. The results obtained here lead to a strengthening of known lower estimates for the deviation of grids.
Received: 27.06.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 10, Pages 1403–1413
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A55; Secondary 65D32, 46E35
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “On a way of obtaining lower estimates for the errors of quadrature formulas”, Mat. Sb., 181:10 (1990), 1403–1413; Math. USSR-Sb., 71:1 (1992), 247–257
Citation in format AMSBIB
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\by V.~N.~Temlyakov
\paper On a~way of obtaining lower estimates for the errors of quadrature formulas
\jour Mat. Sb.
\yr 1990
\vol 181
\issue 10
\pages 1403--1413
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..247T}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 247--257
\crossref{https://doi.org/10.1070/SM1992v071n01ABEH001396}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HJ82500015}
Linking options:
  • https://www.mathnet.ru/eng/sm1231
  • https://doi.org/10.1070/SM1992v071n01ABEH001396
  • https://www.mathnet.ru/eng/sm/v181/i10/p1403
  • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:558
    Russian version PDF:142
    English version PDF:22
    References:49
    First page:2
     
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