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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 807–816 (Mi mzm7185)  
This article is cited in 3 scientific papers (total in 3 papers)

The approximation of periodic differentiable functions by splines with respect to a uniform partition

A. A. Zhensykbaev

Dnepropetrovsk State University
Full-text PDF (486 kB) Citations (3)
Abstract: We solve the problem of determining exact estimates for the approximation by $r$-th order splines of the class $W^{r+1}$ in the metrics $C$ and $L_p$ ($1\le p<\infty$).
Received: 17.07.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 483–489
DOI: https://doi.org/10.1007/BF01163955
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. A. Zhensykbaev, “The approximation of periodic differentiable functions by splines with respect to a uniform partition”, Mat. Zametki, 13:6 (1973), 807–816; Math. Notes, 13:6 (1973), 483–489
Citation in format AMSBIB
\Bibitem{Zhe73}
\by A.~A.~Zhensykbaev
\paper The approximation of periodic differentiable functions by splines with respect to a~uniform partition
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 807--816
\mathnet{http://mi.mathnet.ru/mzm7185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=326238}
\zmath{https://zbmath.org/?q=an:0274.41011|0274.41010}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 483--489
\crossref{https://doi.org/10.1007/BF01163955}
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  • https://www.mathnet.ru/eng/mzm/v13/i6/p807
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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