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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 3, Pages 591–620
DOI: https://doi.org/10.1070/IM1974v008n03ABEH002122
(Mi im1941)
 

This article is cited in 21 scientific papers (total in 21 papers)

On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions

V. P. Motornyi
References:
Abstract: We solve the problem of the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for the following classes of differentiable periodic functions: $W^r$ ($r>3$), $W^rH_\omega$ (where $\omega$ is a convex modulus of continuity and $r$ is odd), and $W^rL$ ($r=4,6,\dots$).
Received: 23.01.1973
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 3, Pages 583–614
Bibliographic databases:
UDC: 517.5
MSC: 41A55, 41A15
Language: English
Original paper language: Russian
Citation: V. P. Motornyi, “On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974), 583–614; Math. USSR-Izv., 8:3 (1974), 591–620
Citation in format AMSBIB
\Bibitem{Mot74}
\by V.~P.~Motornyi
\paper On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 3
\pages 583--614
\mathnet{http://mi.mathnet.ru/im1941}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=390610}
\zmath{https://zbmath.org/?q=an:0306.41013}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 3
\pages 591--620
\crossref{https://doi.org/10.1070/IM1974v008n03ABEH002122}
Linking options:
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  • https://doi.org/10.1070/IM1974v008n03ABEH002122
  • https://www.mathnet.ru/eng/im/v38/i3/p583
  • This publication is cited in the following 21 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:407
    Russian version PDF:136
    English version PDF:12
    References:53
    First page:1
     
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