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Asymptotic Bernstein inequality on lemniscates

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Publication:705283
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DOI10.1016/j.jmaa.2004.07.040zbMath1065.30002OpenAlexW2017687670MaRDI QIDQ705283

Béla Nagy

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.040


zbMATH Keywords

inverse imagepolynomialsGreen functionMarkov-Bernstein inequalityequilibrium measurelemniscatepeaking polynomials


Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Inequalities in the complex plane (30A10)


Related Items (2)

Asymptotics of \(L^p\) Christoffel functions ⋮ Sharpening of Hilbert's lemniscate theorem



Cites Work

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  • Complex Equilibrium Measure and Bernstein Type Theorems for Compact Sets in R n
  • Polynomial inverse images and polynomial inequalities


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