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Differential inequalities for algebraic polynomials

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Abstract

We sharpen and supplement the results by V. I. Smirnov, A. Aziz, and Q. M. Dawood for algebraic polynomials which generalize the classical Bernstein and Erdos-Lax inequalities.

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Authors and Affiliations

  1. Institute of Applied Mathematics of the Far East Division of the Russian Academy of Sciences, Vladivostok, Russia

    A. V. Olesov

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  1. A. V. Olesov
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Correspondence to A. V. Olesov.

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Original Russian Text Copyright © 2010 Olesov A. V.

The author was supported by the Russian Foundation for Basic Research (Grant 08-01-00028), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-2810.2008.1), and the Far East Division of the Russian Academy of Sciences (Grant 09-I-P4-02).

Vladivostok. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 4, pp. 883–889, July–August, 2010.

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Olesov, A.V. Differential inequalities for algebraic polynomials. Sib Math J 51, 706–711 (2010). https://doi.org/10.1007/s11202-010-0071-y

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  • DOI: https://doi.org/10.1007/s11202-010-0071-y

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