This article is cited in 2 papers

Brief communications

Polynomials with curved majorants on two segments

S. I. Kalmykov

Laboratory of Mathematical Analysis, Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, Vladivostok, Russia

Abstract: In this paper we prove covering theorems for analytic functions related to polynomials that have curved majorants on two symmetric intervals. These theorems contain and complement some new and classic results for polynomials with restriction on one and two intervals.

Keywords: covering theorems, inequalities for polynomials, Chebyshev polynomials.

UDC: 517.54

Received: 16.01.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:10, 64–67

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