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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 4, Pages 145–152 (Mi timm874)  
This article is cited in 10 scientific papers (total in 10 papers)

Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden

Yu. S. Volkovab, V. T. Shevaldincd

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
d Ural Federal University
Full-text PDF (156 kB) Citations (10)
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Abstract: For two constructions of quadratic interpolation splines in the sense of Subbotin and Marsden, simple sufficient conditions are established under which the interpolant inherits the geometric properties (positivity, monotonicity, and convexity) of the interpolated data.
Keywords: quadratic spline, interpolation, shape preservation.
Received: 19.08.2011
Revised: 03.03.2012
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: Yu. S. Volkov, V. T. Shevaldin, “Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 145–152
Citation in format AMSBIB
\Bibitem{VolShe12}
\by Yu.~S.~Volkov, V.~T.~Shevaldin
\paper Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 4
\pages 145--152
\mathnet{http://mi.mathnet.ru/timm874}
\elib{https://elibrary.ru/item.asp?id=18126477}
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  • https://www.mathnet.ru/eng/timm/v18/i4/p145
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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