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Daghestan Electronic Mathematical Reports, 2016, Issue 5, Pages 49–55
DOI: https://doi.org/10.31029/demr.5.5 (Mi demr24) 		 
On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants

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

a Daghestan State University
b Daghestan Scientific Centre of Russian Academy of Sciences
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DOI: https://doi.org/10.31029/demr.5.5
URL: https://mathreports.ru/articles/o-nailuchshikh-priblizheniyakh-nepreryvno-differentsiruemykh-funktsiy-splaynami-po-dvukhtochechnym-r/index.php
Abstract: Estimates of degree of the best spline-approximation by means of two-points rational interpolant for continuously differentiable functions on a given segment are obtained.
Keywords: interpolation splines, rational splines, best spline-approximation.
Received: 24.05.2016
Revised: 29.06.2016
Accepted: 30.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A.-R. K. Ramazanov, V. G. Magomedova, “On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants”, Daghestan Electronic Mathematical Reports, 2016, no. 5, 49–55
Citation in format AMSBIB
\Bibitem{RamMag16}
\by A.-R.~K.~Ramazanov, V.~G.~Magomedova
\paper On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants
\jour Daghestan Electronic Mathematical Reports
\yr 2016
\issue 5
\pages 49--55
\mathnet{http://mi.mathnet.ru/demr24}
\crossref{https://doi.org/10.31029/demr.5.5}
\elib{https://elibrary.ru/item.asp?id=29412580}
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