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Covering theorems for polynomials with curved majorants on two intervals

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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. Bibliography: 15 titles.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostock, Russia

    S. I. Kalmykov

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  1. S. I. Kalmykov
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Correspondence to S. I. Kalmykov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 383, 2010, pp. 97–109.

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Kalmykov, S.I. Covering theorems for polynomials with curved majorants on two intervals. J Math Sci 178, 170–177 (2011). https://doi.org/10.1007/s10958-011-0536-y

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  • DOI: https://doi.org/10.1007/s10958-011-0536-y

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