\(\alpha\)-concave functions and a functional extension of mixed volumes

DOI10.3934/era.2013.20.1zbMath1277.52011arXiv1302.0823OpenAlexW3103221070MaRDI QIDQ1948465

Liran Rotem, Vitali D. Milman

Publication date: 6 May 2013

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0823

zbMATH Keywords

quasi-concavitylog-concavitymixed volumes\(\alpha\)-concavitymixed integralsBrunn-Minkowski

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convexity of real functions of several variables, generalizations (26B25)

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LYZ ellipsoid and Petty projection body for log-concave functions ⋮ On Prékopa-Leindler type inequality for Sugeno integral ⋮ Projection body and isoperimetric inequalities for \(s\)-concave functions ⋮ The first variation of the total mass of log-concave functions and related inequalities ⋮ Equivariant endomorphisms of convex functions ⋮ Hessian valuations ⋮ The functional form of the dual mixed volume

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