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On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2022-10, Vol.74 (5), p.664-684
Main Authors: Abdullayev, F. G., Imashkyzy, M.
Format: Article
Language:English
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Description
Summary:We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02093-3