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<p>This paper studies integral-type norm estimates for a polynomial that does not vanish in a disk of positive radius.We derive integral norm estimates for the growth of a polynomial in the complex plane, which include generalizations and refinements of some inequalities by Aziz, Dawood, Zargar, Shah, and the classical inequality of Ankeny and Rivlin.</p>

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Inequalities for the Growth of a Polynomial in the Complex Domain

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • A. Mir,
  • N. Singh

摘要

This paper studies integral-type norm estimates for a polynomial that does not vanish in a disk of positive radius.We derive integral norm estimates for the growth of a polynomial in the complex plane, which include generalizations and refinements of some inequalities by Aziz, Dawood, Zargar, Shah, and the classical inequality of Ankeny and Rivlin.