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Matematicheskie Zametki, 1973, Volume 13, Issue 2, Pages 217–228 (Mi mzm7091)  
This article is cited in 9 scientific papers (total in 9 papers)

Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines

A. A. Zhensykbaev

Dnepropetrovsk State University
Full-text PDF (651 kB) Citations (9)
Abstract: We solve the problem of determining exact bounds for the uniform approximation of continuous periodic functions by $r$-th order interpolation splines in a space $C$ and on a class $H_\omega$ specified by the convex modulus of continuity $\omega(t)$.
Received: 06.12.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 2, Pages 130–136
DOI: https://doi.org/10.1007/BF01094230
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. A. Zhensykbaev, “Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines”, Mat. Zametki, 13:2 (1973), 217–228; Math. Notes, 13:2 (1973), 130–136
Citation in format AMSBIB
\Bibitem{Zhe73}
\by A.~A.~Zhensykbaev
\paper Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 2
\pages 217--228
\mathnet{http://mi.mathnet.ru/mzm7091}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=316946}
\zmath{https://zbmath.org/?q=an:0325.41007}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 2
\pages 130--136
\crossref{https://doi.org/10.1007/BF01094230}
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  • https://www.mathnet.ru/eng/mzm/v13/i2/p217
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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