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The Turán-type inequalities for complex polynomials in L 0-metrics

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Abstract

In this paper we obtain inequalities for measures of trigonometric polynomials of power (P n (e iφ)) and general (T n (t)) types with the help of measures and their mth derivatives.

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Authors and Affiliations

  1. Odessa State University, ul. Dvoryanskya 2, Odessa, 65082, Ukraine

    E. A. Storozhenko

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  1. E. A. Storozhenko
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Correspondence to E. A. Storozhenko.

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Dedicated to the memory of Petr Lavrent’evich Ul’yanov

Original Russian Text © E.A. Storozhenko, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 5, pp. 101–108.

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Storozhenko, E.A. The Turán-type inequalities for complex polynomials in L 0-metrics. Russ Math. 52, 88–94 (2008). https://doi.org/10.3103/S1066369X08050113

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  • DOI: https://doi.org/10.3103/S1066369X08050113

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