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Matematicheskie Zametki, 1974, Volume 16, Issue 1, Pages 163–171 (Mi mzm7447)  
This article is cited in 14 scientific papers (total in 14 papers)

Approximation of the function $|x|$ by rational functions

N. S. Vyacheslavov

M. V. Lomonosov Moscow State University
Full-text PDF (482 kB) Citations (14)
Abstract: We consider the problem of the approximation of the function $|x|$ by rational functions. We make more precise the best approximation estimate obtained by A. P. Bulanov.
We prove that for arbitrary positive integral $n$
$$ R_n[|x|]<Ane^{-\pi\sqrt n} $$
where $A$ is an absolute constant.
Received: 12.08.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 1, Pages 680–685
DOI: https://doi.org/10.1007/BF01098826
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. S. Vyacheslavov, “Approximation of the function $|x|$ by rational functions”, Mat. Zametki, 16:1 (1974), 163–171; Math. Notes, 16:1 (1974), 680–685
Citation in format AMSBIB
\Bibitem{Vya74}
\by N.~S.~Vyacheslavov
\paper Approximation of the function $|x|$ by rational functions
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 1
\pages 163--171
\mathnet{http://mi.mathnet.ru/mzm7447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=355426}
\zmath{https://zbmath.org/?q=an:0307.41010}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 1
\pages 680--685
\crossref{https://doi.org/10.1007/BF01098826}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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