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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 97–109 (Mi znsl3875)  
This article is cited in 1 scientific paper (total in 1 paper)

Covering theorems for polynomials with curved majorants on two segments

S. I. Kalmykov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (203 kB) Citations (1)
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Abstract: In this paper, covering theorems for analytic functions related to polynomials that have curved majorants on two symmetric intervals are proved. These theorems contain and complement some new and classical results for polynomials with constraints on one and two intervals. Bibl. 15 titles.
Key words and phrases: covering theorem, polynomial inequality, Chebyshev polynomial.
Received: 30.08.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 2, Pages 170–177
DOI: https://doi.org/10.1007/s10958-011-0536-y
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. I. Kalmykov, “Covering theorems for polynomials with curved majorants on two segments”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 97–109; J. Math. Sci. (N. Y.), 178:2 (2011), 170–177
Citation in format AMSBIB
\Bibitem{Kal10}
\by S.~I.~Kalmykov
\paper Covering theorems for polynomials with curved majorants on two segments
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 97--109
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3875}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 2
\pages 170--177
\crossref{https://doi.org/10.1007/s10958-011-0536-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053557438}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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