Functional Versions ofLp-Affine Surface Area and Entropy Inequalities

DOI10.1093/imrn/rnv151zbMath1337.52008arXiv1402.3250OpenAlexW1830099873MaRDI QIDQ2797857

Joseph Lehec, Umut Caglar, Elisabeth M. Werner, Olivier Guédon, Matthieu Fradelizi, Carsten Schuett

Publication date: 1 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3250

zbMATH Keywords

convex bodies\(s\)-concave functions\(\log\)-concave functions\(L^p\)-affine surface areas\(L^p\)-Brunn-Minkowski theoryinverse \(\log\)-Sobolev inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Minkowski geometries in nonlinear incidence geometry (51B20) Asymptotic theory of convex bodies (52A23)

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