Sharpening of Hilbert's lemniscate theorem

DOI10.1007/BF02787828zbMath1093.30003OpenAlexW2375586010MaRDI QIDQ816476

Béla Nagy, Vilmos Totik

Publication date: 9 March 2006

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02787828

zbMATH Keywords

Bernstein inequalityHilbert's lemniscate theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (15)

On the geometry of random lemniscates ⋮ The Polynomial Inverse Image Method ⋮ Riesz-type inequalities on general sets ⋮ Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros ⋮ Bernstein's inequality for algebraic polynomials on circular arcs ⋮ Inradius of random lemniscates ⋮ Asymptotics of Christoffel functions on arcs and curves ⋮ Basic polynomial inequalities on intervals and circular arcs ⋮ Christoffel functions on curves and domains ⋮ Asymptotics of \(L^p\) Christoffel functions ⋮ Universality type limits for Bergman orthogonal polynomials ⋮ Polynomials with zeros and small norm on curves ⋮ Chebyshev and fast decreasing polynomials ⋮ Rate of convergence of row sequences of multipoint Padé approximants ⋮ Polynomial and rational inequalities on analytic Jordan arcs and domains

Cites Work

• Asymptotic Bernstein inequality on lemniscates
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