Markov-type inequality and a lower bound for the moduli of critical values of polynomials

DOI10.1134/S1064562413040248zbMath1284.30003OpenAlexW2150299179MaRDI QIDQ382184

V. N. Dubinin

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413040248

zbMATH Keywords

polynomialscritical valuesChebyshev polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (5)

Distortion theorem for complex polynomials ⋮ Critical values and moduli of the derivative of a complex polynomial at its zeros ⋮ On one extremal problem for complex polynomials with constraints on critical values ⋮ Lemniscate zone and distortion theorems for multivalent functions ⋮ An extremal problem for the derivative of a rational function

Cites Work

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• A Markov-type inequality for arbitrary plane continua
• Inequalities for critical values of polynomials
• The fundamental theorem of algebra and complexity theory
• An Extremal Problem for Polynomials
• A new version of circular symmetrization with applications top-valent functions
• On the derivative of a polynomial

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