On Markoff's inequality

DOI10.1007/s00365-002-0500-7zbMath1026.30024OpenAlexW2079326540MaRDI QIDQ1862751

Vilmos Totik

Publication date: 15 December 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-002-0500-7

zbMATH Keywords

logarithmic capacitylocal Markoff factorMarkoff factor

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

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Invariance of polynomial inequalities under polynomial maps ⋮ Sharp Markov-type inequalities for rational functions on several intervals ⋮ Markov's inequality and polynomial mappings ⋮ Markov-type inequalities for surface gradients of multivariate polynomials ⋮ Markov-type inequalities on certain irrational arcs and domains ⋮ On sparse sets with the Green function of the highest smoothness ⋮ On the behaviour of constants in some polynomial inequalities

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