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Matematicheskie Trudy, 2011, Volume 14, Number 2, Pages 73–82 (Mi mt216)  
This article is cited in 7 scientific papers (total in 7 papers)

Local approximation by splines with displacement of nodes

Yu. S. Volkova, E. V. Strelkovab, V. T. Shevaldinb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (194 kB) Citations (7)
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Abstract: We consider the problem of approximating a function defined on a uniform mesh by the method of local polynomial spline-approximation where the mesh of the nodes of the spline is chosen displaced relative to the mesh of the initial data. Conditions are established for the local form preservation by the spline of the initial data. We study the approximative properties of the method for the case of the simplest local approximation formula and find the optimal values of the displacement parameters.
Key words: local spline-approximation, displaced data, Schoenberg approximation.
Received: 09.03.2011
English version:
Siberian Advances in Mathematics, 2013, Volume 23, Issue 1, Pages 69–75
DOI: https://doi.org/10.3103/S1055134413010069
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: Yu. S. Volkov, E. V. Strelkova, V. T. Shevaldin, “Local approximation by splines with displacement of nodes”, Mat. Tr., 14:2 (2011), 73–82; Siberian Adv. Math., 23:1 (2013), 69–75
Citation in format AMSBIB
\Bibitem{VolStrShe11}
\by Yu.~S.~Volkov, E.~V.~Strelkova, V.~T.~Shevaldin
\paper Local approximation by splines with displacement of nodes
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 2
\pages 73--82
\mathnet{http://mi.mathnet.ru/mt216}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961769}
\elib{https://elibrary.ru/item.asp?id=17025630}
\transl
\jour Siberian Adv. Math.
\yr 2013
\vol 23
\issue 1
\pages 69--75
\crossref{https://doi.org/10.3103/S1055134413010069}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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