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Matematicheskie Trudy, 1998, Volume 1, Number 2, Pages 68–78 (Mi mt140)  
This article is cited in 2 scientific papers (total in 2 papers)

Best Error Bounds for the Derivative of a Quartic Interpolation Spline

Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (225 kB) Citations (2)
Abstract: For a quartic $C^2$-spline, G. Howell and A. Varma established the best estimate for an error of interpolation of a smooth function. The article provides an answer to their question on estimating the derivative. We obtain an estimate for the error of approximation to the derivative with a sharp constant.
Key words: quartic spline, interpolation, sharp constant.
Received: 21.11.1996
Bibliographic databases:
UDC: 517.518.85
Language: Russian
Citation: Yu. S. Volkov, “Best Error Bounds for the Derivative of a Quartic Interpolation Spline”, Mat. Tr., 1:2 (1998), 68–78; Siberian Adv. Math., 9:2 (1999), 140–150
Citation in format AMSBIB
\Bibitem{Vol98}
\by Yu.~S.~Volkov
\paper Best Error Bounds for the~Derivative of a~Quartic Interpolation Spline
\jour Mat. Tr.
\yr 1998
\vol 1
\issue 2
\pages 68--78
\mathnet{http://mi.mathnet.ru/mt140}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1761404}
\zmath{https://zbmath.org/?q=an:1013.41005|0935.41013}
\transl
\jour Siberian Adv. Math.
\yr 1999
\vol 9
\issue 2
\pages 140--150
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  • https://www.mathnet.ru/eng/mt/v1/i2/p68
    • 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 труды Siberian Advances in Mathematics
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