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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 233–246
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-233-246 (Mi timm1369) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Splines for four-point rational interpolants

A.-R. K. Ramazanovab, V. G. Magomedovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Daghestan State University, Makhachkala
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-233-246
Abstract: For continuous functions, we construct four-point rational interpolants and, for them, rational interpolation splines. For continuous functions, continuously differentiable functions, and their derivatives up to the second order, we obtain convergence bounds for such splines and their derivatives.
Keywords: splines, interpolation splines, rational splines.
Received: 30.05.2016
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 97N50
Language: Russian
Citation: A.-R. K. Ramazanov, V. G. Magomedova, “Splines for four-point rational interpolants”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 233–246
Citation in format AMSBIB
\Bibitem{RamMag16}
\by A.-R.~K.~Ramazanov, V.~G.~Magomedova
\paper Splines for four-point rational interpolants
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 4
\pages 233--246
\mathnet{http://mi.mathnet.ru/timm1369}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-4-233-246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3590937}
\elib{https://elibrary.ru/item.asp?id=27350141}
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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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