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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 21–27
DOI: https://doi.org/10.17377/semi.2015.12.003 (Mi semr566) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational mathematics

Linear approximation method preserving $k$-monotonicity

D. I. Boytsov, S. P. Sidorov

Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya, 83, 410012, Saratov, Russian Federation
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DOI: https://doi.org/10.17377/semi.2015.12.003
Abstract: The paper presents the example of linear finite-dimensional approximation method that preserves $k$-monotonicity of approximated functions and uses the values of function at equidistant points on $[0,1]$.
Keywords: shape-preserving approximation, linear approximation, degree of approximation.
Received September 7, 2014, published January 22, 2015
Document Type: Article
UDC: 512.5
MSC: 13A99
Language: English
Citation: D. I. Boytsov, S. P. Sidorov, “Linear approximation method preserving $k$-monotonicity”, Sib. Èlektron. Mat. Izv., 12 (2015), 21–27
Citation in format AMSBIB
\Bibitem{BoySid15}
\by D.~I.~Boytsov, S.~P.~Sidorov
\paper Linear approximation method preserving $k$-monotonicity
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 21--27
\mathnet{http://mi.mathnet.ru/semr566}
\crossref{https://doi.org/10.17377/semi.2015.12.003}
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