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Free by publisher: Publ. Version/Full Text online available 07/2025
as soon as is submitted to ZB.
Bernstein inequality in Lα norms.
Acta Sci. Math. 79, 129-174 (2013)
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Bernstein inequality; Equilibrium measure; Polynomial inequalities; Potential theory
ISSN (print) / ISBN
0001-6969
Journal
Acta Scientiarum Mathematicarum
Quellenangaben
Volume: 79,
Issue: 1-2,
Pages: 129-174
Publisher
Bolyai Institute, University of Szeged
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)