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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 423–430 (Mi mzm9525)  

This article is cited in 2 scientific papers (total in 2 papers)

Linear method for the approximation of differentiable functions

Yu. N. Subbotin

Ural State University
Full-text PDF (740 kB) Citations (2)
Abstract: This article is devoted to the problem of the approximation of functions in the metric of space $L_p(0, 1)$, the $s$-th derivative of the functions being continuous and the $(s+1)$-th derivative belonging to the space $L_q(0, 1)$, with $p,q\geqslant1$, by spline functions of order $s$ with fixed “almost” uniform nodes.
Received: 28.04.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 256–260
DOI: https://doi.org/10.1007/BF01151698
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. N. Subbotin, “Linear method for the approximation of differentiable functions”, Mat. Zametki, 7:4 (1970), 423–430; Math. Notes, 7:4 (1970), 256–260
Citation in format AMSBIB
\Bibitem{Sub70}
\by Yu.~N.~Subbotin
\paper Linear method for the approximation of differentiable functions
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 4
\pages 423--430
\mathnet{http://mi.mathnet.ru/mzm9525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=270037}
\zmath{https://zbmath.org/?q=an:0202.34502|0194.36701}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 4
\pages 256--260
\crossref{https://doi.org/10.1007/BF01151698}
Linking options:
  • https://www.mathnet.ru/eng/mzm9525
  • https://www.mathnet.ru/eng/mzm/v7/i4/p423
  • 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
    Математические заметки Mathematical Notes
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    Abstract page:159
    Full-text PDF :58
    First page:1
     
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