Point-wise estimates for the derivative of algebraic polynomials

DOI10.30970/MS.56.2.208-211zbMath1492.30019arXiv2104.01248OpenAlexW3148518584MaRDI QIDQ2126896

A. V. Savchuk

Publication date: 19 April 2022

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01248

zbMATH Keywords

polynomialsBernstein inequalitylogarithmic derivative

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Cites Work

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• Integral mean estimates for polynomials with restricted zeros
• On the Eneström-Kakeya theorem and its sharpness
• Extremal and approximative properties of simple partial fractions
• On the Derivative of a Polynomial

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