A simple proof of the moment-entropy inequalities

DOI10.1016/j.aam.2019.03.006zbMath1416.60021OpenAlexW2933444267WikidataQ128203072 ScholiaQ128203072MaRDI QIDQ2002038

Nguyen Van Hoang

Publication date: 11 July 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2019.03.006

zbMATH Keywords

reverse Hölder inequalityBlaschke-Santaló inequalityRényi entropyCarlson-Levin inequalitiesmoment-entropy inequalities

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Measures of information, entropy (94A17)

Related Items (2)

On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ On the L _p -sine moment-entropy inequality

Cites Work

• Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• Sharp affine \(L_ p\) Sobolev inequalities.
• Moment-entropy inequalities.
• Asymmetric Blaschke-Santaló functional inequalities
• The Brunn-Minkowski inequality
• Affine Moments of a Random Vector
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