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Matematicheskie Zametki, 1972, Volume 11, Issue 2, Pages 215–226 (Mi mzm9782)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximation by cubic splines in the classes of continuously differentiable functions

V. L. Velikin

Dnepropetrovsk State University
Full-text PDF (1059 kB) Citations (1) English version article
Abstract: The problem of approximating continuously differentiable periodic functions $f(x)$ by cubic interpolation splines $s_n(f;x)$ with equidistant nodes is considered. Asymptotically exact estimates for $||f(x)-s_n(f;x)||_C$ are obtained in the classes of functions $W^1H_\omega$.
Received: 24.08.1970
English version:
Mathematical Notes, 1972, Volume 11, Issue 2, Pages 133–140
DOI: https://doi.org/10.1007/BF01097932
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. L. Velikin, “Approximation by cubic splines in the classes of continuously differentiable functions”, Mat. Zametki, 11:2 (1972), 215–226; Math. Notes, 11:2 (1972), 133–140
Citation in format AMSBIB
\Bibitem{Vel72}
\by V.~L.~Velikin
\paper Approximation by cubic splines in the classes of continuously differentiable functions
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 2
\pages 215--226
\mathnet{http://mi.mathnet.ru/mzm9782}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=299989}
\zmath{https://zbmath.org/?q=an:0265.41008|0265.41007}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 2
\pages 133--140
\crossref{https://doi.org/10.1007/BF01097932}
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    • This publication is cited in the following 1 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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    Full-text PDF :113
    References:4
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