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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 36 scientific papers (total in 36 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
English version PDF (472 kB) Citations (36) Russian version article
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DOI: https://doi.org/10.1070/SM1992v071n01ABEH001396
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
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”, 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 Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 247--257
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..247T}
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
     
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