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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 102–113
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-102-113 (Mi timm1358) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Shape preservation conditions under interpolation by Subbotin's parabolic splines

V. V. Bogdanov, Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-102-113
Abstract: Parabolic splines are applied to solve an interpolation problem with the conditions of preserving the piecewise monotonicity and convexity. Sufficient conditions are established for the piecewise monotonicity and convexity of Subbotin's quadratic interpolation splines, and numerical examples are given.
Keywords: quadratic spline, interpolation, shape preservation.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-07530
Received: 15.09.2016
Bibliographic databases:
Document Type: Article
UDC: 519.65
MSC: 65D05, 65D07
Language: Russian
Citation: V. V. Bogdanov, Yu. S. Volkov, “Shape preservation conditions under interpolation by Subbotin's parabolic splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 102–113
Citation in format AMSBIB
\Bibitem{BogVol16}
\by V.~V.~Bogdanov, Yu.~S.~Volkov
\paper Shape preservation conditions under interpolation by Subbotin's parabolic splines
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 4
\pages 102--113
\mathnet{http://mi.mathnet.ru/timm1358}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-4-102-113}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3590926}
\elib{https://elibrary.ru/item.asp?id=27350130}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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