Enviar artigo por via de e-mail Critical Values and Moduli of the Derivative of a Complex Polynomial at its Zeros
- Autores: Dubinin V.N.1
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Afiliações:
- Far Eastern Federal University, Institute of Applied Mathematics of the DVO RAN
- Edição: Volume 225, Nº 6 (2017)
- Páginas: 877-882
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239858
- DOI: https://doi.org/10.1007/s10958-017-3503-4
- ID: 239858
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Resumo
Under some constraints on the critical values of an algebraic polynomial with complex coefficients, a sharp inequality for the product of certain powers of moduli of its derivative at its zeros is established. The equality is attained for a suitable Chebyshev polynomial of the first kind.
Sobre autores
V. Dubinin
Far Eastern Federal University, Institute of Applied Mathematics of the DVO RAN
Autor responsável pela correspondência
Email: dubinin@iam.dvo.ru
Rússia, Vladivostok
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