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Nagy, B.* ; Toókos, F.

Bernstein inequality in Lα norms.

Acta Sci. Math. 79, 129-174 (2013)
Free by publisher: Verlagsversion online verfügbar 07/2025
The classical Bernstein inequality estimates the derivative of a polynomial at a fixed point with the supremum norm and a factor depending on the point only. Recently, this classical inequality was generalized to arbitrary compact subsets on the real line. That generalization is sharp and naturally introduces potential theoretical quantities. It also gives a hint how a sharp L α Bernstein inequality should look like. In this paper we prove this conjectured Lα Bernstein type inequality and we also prove its sharpness.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Bernstein inequality; Equilibrium measure; Polynomial inequalities; Potential theory
ISSN (print) / ISBN 0001-6969
Zeitschrift Acta Scientiarum Mathematicarum
Quellenangaben Band: 79, Heft: 1-2, Seiten: 129-174 Artikelnummer: , Supplement: ,
Verlag Bolyai Institute, University of Szeged
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)