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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 383, Pages 97–109 (Mi znsl3875)

This article is cited 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

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.

UDC: 517.54

Received: 30.08.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 178:2, 170–177

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