A Markov-type inequality for arbitrary plane continua

DOI10.1090/S0002-9939-06-08640-0zbMath1112.41008arXivmath/0606745MaRDI QIDQ3425999

Alexandre Eremenko

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606745

zbMATH Keywords

polynomialMarkov type inequalitycapacity of a setcontinuum in the complex plane

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (13)

Distortion and critical values of the finite Blaschke product ⋮ Distortion theorem for complex polynomials ⋮ Markov-type inequality and a lower bound for the moduli of critical values of polynomials ⋮ Markov-Type Inequalities with Applications in Multivariate Approximation Theory ⋮ On the finite-increment theorem for complex polynomials ⋮ On one extremal problem for complex polynomials with constraints on critical values ⋮ Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ Lemniscate zone and distortion theorems for multivalent functions ⋮ An extremal problem for the derivative of a rational function ⋮ On the analyticity of functions approximated by their \(q\)-Bernstein polynomials when \(q > 1\) ⋮ On the behaviour of constants in some polynomial inequalities ⋮ Multipliers of periodic orbits in spaces of rational maps

Cites Work

• On the length of lemniscates
• An Extremal Problem for Polynomials
• On the derivative of a polynomial
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