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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2015 Volume 12, Pages 21–27 (Mi semr566)

This article is cited 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

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.

UDC: 512.5

MSC: 13A99

Received September 7, 2014, published January 22, 2015

Language: English

DOI: 10.17377/semi.2015.12.003



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