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Matematicheskie Zametki, 1975, Volume 17, Issue 1, Pages 13–20 (Mi mzm7218)  
This article is cited in 7 scientific papers (total in 7 papers)

Zolotarev problem in the metric of $L_1([-1,1])$

È. M. Galeev

M. V. Lomonosov Moscow State University, USSR
Full-text PDF (410 kB) Citations (7)
Abstract: In this paper we solve the problem of the determination of a polynomial of degree n with given two leading coefficients which has the least deviation from zero in the metric of $L_1([-1,1])$. The extremal polynomial is expressed in the form of some linear combination of Chebyshev polynomials of the second kind.
Received: 05.07.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 1, Pages 9–13
DOI: https://doi.org/10.1007/BF01093834
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: È. M. Galeev, “Zolotarev problem in the metric of $L_1([-1,1])$”, Mat. Zametki, 17:1 (1975), 13–20; Math. Notes, 17:1 (1975), 9–13
Citation in format AMSBIB
\Bibitem{Gal75}
\by \`E.~M.~Galeev
\paper Zolotarev problem in the metric of $L_1([-1,1])$
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 1
\pages 13--20
\mathnet{http://mi.mathnet.ru/mzm7218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=361566}
\zmath{https://zbmath.org/?q=an:0321.41019|0315.41024}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 1
\pages 9--13
\crossref{https://doi.org/10.1007/BF01093834}
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  • https://www.mathnet.ru/eng/mzm/v17/i1/p13
    Remarks
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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