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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 6, Pages 1335–1355
DOI: https://doi.org/10.1070/IM1969v003n06ABEH000875 (Mi im2244) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation

N. P. Korneichuk, N. E. Lushpai
English version PDF (909 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/IM1969v003n06ABEH000875
Abstract: In this article we obtain characteristic properties of piecewise-polynomial functions (“spline” functions) that have least deviation from zero in the metric of $C$. This has allowed us to obtain quadrature formulas with least estimate of the remainder on a number of classes of differentiable functions.
Received: 31.03.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 6, Pages 1416–1437
Bibliographic databases:
UDC: 517.5
MSC: 65D32, 41A10, 41A15, 65D07
Language: English
Original paper language: Russian
Citation: N. P. Korneichuk, N. E. Lushpai, “Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969), 1416–1437; Math. USSR-Izv., 3:6 (1969), 1335–1355
Citation in format AMSBIB
\Bibitem{KorLus69}
\by N.~P.~Korneichuk, N.~E.~Lushpai
\paper Best quadrature formulas for classes of differentiable functions and piecewise-polynomial approximation
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 6
\pages 1416--1437
\mathnet{http://mi.mathnet.ru/im2244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=278519}
\zmath{https://zbmath.org/?q=an:0198.08902|0209.09802}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 6
\pages 1335--1355
\crossref{https://doi.org/10.1070/IM1969v003n06ABEH000875}
Linking options:
  • https://www.mathnet.ru/eng/im2244
  • https://doi.org/10.1070/IM1969v003n06ABEH000875
  • https://www.mathnet.ru/eng/im/v33/i6/p1416
    • This publication is cited in the following 11 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:387
    Russian version PDF:142
    English version PDF:16
    References:42
    First page:1
     
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