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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 5, Pages 1055–1071
DOI: https://doi.org/10.1070/IM1977v011n05ABEH001758
(Mi im1882)
 

This article is cited in 16 scientific papers (total in 16 papers)

Best quadrature formula for some classes of periodic differentiable functions

A. A. Zhensykbaev
References:
Abstract: In this work there is solved the problem of the best quadrature formula of the form
$$ \int_0^1f(x)\,dx=\sum_{i=1}^na_if(x_i)+R(f) $$
on the classes of periodic functions $W^r_p$ ($r=1,2,\dots$; $1\leqslant p\leqslant\infty$).
Bibliography: 13 titles.
Received: 19.01.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 5, Pages 1110–1124
Bibliographic databases:
UDC: 517.5
MSC: 41A15, 41A55
Language: English
Original paper language: Russian
Citation: A. A. Zhensykbaev, “Best quadrature formula for some classes of periodic differentiable functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977), 1110–1124; Math. USSR-Izv., 11:5 (1977), 1055–1071
Citation in format AMSBIB
\Bibitem{Zhe77}
\by A.~A.~Zhensykbaev
\paper Best quadrature formula for some classes of periodic differentiable functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 5
\pages 1110--1124
\mathnet{http://mi.mathnet.ru/im1882}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471271}
\zmath{https://zbmath.org/?q=an:0363.41030|0393.41014}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 5
\pages 1055--1071
\crossref{https://doi.org/10.1070/IM1977v011n05ABEH001758}
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  • https://doi.org/10.1070/IM1977v011n05ABEH001758
  • https://www.mathnet.ru/eng/im/v41/i5/p1110
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:405
    Russian version PDF:107
    English version PDF:13
    References:57
    First page:1
     
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