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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 1, Pages 139–149
DOI: https://doi.org/10.1070/SM1972v018n01ABEH001621 (Mi sm3222) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric

B. Kh. Sendov, V. A. Popov
English version PDF (428 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1972v018n01ABEH001621
Abstract: In this paper the precise asymptotic behavior is given for the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric in the class of all bounded ($2\pi$-periodic) functions.
Bibliography: 3 titles.
Received: 20.11.1971
Bibliographic databases:
UDC: 517.51
MSC: 41A10, 41A50, 41A60, 42A08
Language: English
Original paper language: Russian
Citation: B. Kh. Sendov, V. A. Popov, “The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric”, Math. USSR-Sb., 18:1 (1972), 139–149
Citation in format AMSBIB
\Bibitem{SenPop72}
\by B.~Kh.~Sendov, V.~A.~Popov
\paper The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 1
\pages 139--149
\mathnet{http://mi.mathnet.ru//eng/sm3222}
\crossref{https://doi.org/10.1070/SM1972v018n01ABEH001621}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=308665}
\zmath{https://zbmath.org/?q=an:0249.41004}
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  • https://doi.org/10.1070/SM1972v018n01ABEH001621
  • https://www.mathnet.ru/eng/sm/v131/i1/p138
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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