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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 267–277 (Mi zvmmf5619)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimal algorithms for integration of convex functions

I. A. Glinkin

Moscow
Full-text PDF (1162 kB) Citations (2)
Abstract: A best quadrature formula and an algorithm that is optimal in one step for integrating a convex function of one variable are described. It is shown that the least guaranteed error of both methods are roughly the same, though, if the behaviour of the integrated function is “not the worst”, the efficiency of the optimal algorithm can be higher.
Received: 15.04.1981
Revised: 04.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 2, Pages 6–12
DOI: https://doi.org/10.1016/S0041-5553(83)80040-8
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: Primary 65D32; Secondary 41A55
Language: Russian
Citation: I. A. Glinkin, “Optimal algorithms for integration of convex functions”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 267–277; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 6–12
Citation in format AMSBIB
\Bibitem{Gli83}
\by I.~A.~Glinkin
\paper Optimal algorithms for integration of convex functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 2
\pages 267--277
\mathnet{http://mi.mathnet.ru/zvmmf5619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=698214}
\zmath{https://zbmath.org/?q=an:0525.65009}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 2
\pages 6--12
\crossref{https://doi.org/10.1016/S0041-5553(83)80040-8}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i2/p267
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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