S. I. Kalmykov, “On polynomials normalized on an interval”, Dal'nevost. Mat. Zh., 18:2 (2018), 216

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Dal'nevostochnyi Matematicheskii Zhurnal, 2018, Volume 18, Number 2, Pages 216–266 (Mi dvmg387)

This article is cited in 1 scientific paper (total in 1 paper)

On polynomials normalized on an interval

S. I. Kalmykov^ab

^a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

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Abstract: In this short communication new covering theorems, two-point distortion theorems and coefficient estimates for polynomials with a curved majorant on an interval are presented. Extremal polynomials in these therems are Chebyshev polynomials of the the second, third and forth kinds. Proofs are based on a new version of the Schwarz lemma and a univalent condition for holomorphic functions suggested by Dubinin.

Key words: Chebyshev polynomials, Bernstein inequality, conformal mappings.

Funding agency	Grant number
Russian Science Foundation	14-11-00022

Received: 03.08.2018

Document Type: Information matherial

UDC: 517.54

MSC: 31B99

Language: Russian

Citation: S. I. Kalmykov, “On polynomials normalized on an interval”, Dal'nevost. Mat. Zh., 18:2 (2018), 216–266

Citation in format AMSBIB

\Bibitem{Kal18}

\by S.~I.~Kalmykov

\paper On polynomials normalized on an interval

\jour Dal'nevost. Mat. Zh.

\yr 2018

\vol 18

\issue 2

\pages 216--266

\mathnet{http://mi.mathnet.ru/dvmg387}

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https://www.mathnet.ru/eng/dvmg/v18/i2/p216

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	68
References:	34

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