Email this article Critical Values and Moduli of the Derivative of a Complex Polynomial at its Zeros
- Authors: Dubinin V.N.1
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Affiliations:
- Far Eastern Federal University, Institute of Applied Mathematics of the DVO RAN
- Issue: Vol 225, No 6 (2017)
- Pages: 877-882
- Section: 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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Abstract
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.
About the authors
V. N. Dubinin
Far Eastern Federal University, Institute of Applied Mathematics of the DVO RAN
Author for correspondence.
Email: dubinin@iam.dvo.ru
Russian Federation, Vladivostok
