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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 1004–1014
DOI: https://doi.org/10.17377/smzh.2017.58.504 (Mi smj2914) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (305 kB) Citations (1)
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DOI: https://doi.org/10.17377/smzh.2017.58.504
Abstract: We find a sufficient condition for a weighted unsaturated quadrature formula to be wellconditioned and calculate the sum of the moduli of its quadrature coefficients for any $p$-integrable weight function with $1<p<\infty$ on a finite interval.
Keywords: unsaturated quadrature formula, round-off error, good conditionality.
Received: 18.05.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 778–785
DOI: https://doi.org/10.1134/S0037446617050044
Bibliographic databases:
Document Type: Article
UDC: 519.644+517.518.85
MSC: 35R30
Language: Russian
Citation: V. N. Belykh, “Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval”, Sibirsk. Mat. Zh., 58:5 (2017), 1004–1014; Siberian Math. J., 58:5 (2017), 778–785
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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