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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 2, Pages 156–166 (Mi timm98)  
This article is cited in 5 scientific papers (total in 5 papers)

Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions

Yu. N. Subbotin
Full-text PDF (295 kB) Citations (5)
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Abstract: In this paper with the help of parabolic splines we construct a linear method of approximate recovery of functions by their values on an arbitrary grid. In the method, a spline inherits the properties of monotonicity and convexity from the approximated function, and is sufficiently smooth. In addition, the constructed linear operator as an operator acting from the space of continuous functions to the same space has the norm equal to one. We also obtain similar results for trigonometric splines of third order.
Received: 12.04.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S231–S242
DOI: https://doi.org/10.1134/S0081543807060168
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: Yu. N. Subbotin, “Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 156–166; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S231–S242
Citation in format AMSBIB
\Bibitem{Sub07}
\by Yu.~N.~Subbotin
\paper Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 156--166
\mathnet{http://mi.mathnet.ru/timm98}
\elib{https://elibrary.ru/item.asp?id=12040778}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S231--S242
\crossref{https://doi.org/10.1134/S0081543807060168}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949168215}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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