Some remarks on petty projection of log-concave functions

DOI10.1007/s12220-023-01322-warXiv1906.08183OpenAlexW2949514117MaRDI QIDQ6113286

Unnamed Author, Letícia Alves da Silva, Rafael Villa

Publication date: 10 July 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08183

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Cites Work

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• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
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• Moment measures
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Geometry of log-concave functions and measures
• Functional Inequalities related to the Rogers‐Shephard Inequality
• On the Mean Width of Log-Concave Functions
• Zhang’s Inequality for Log-Concave Functions
• Asymptotic Geometric Analysis, Part I
• Convex Bodies The Brunn-MinkowskiTheory
• The Santaló point of a function, and a functional form of the Santaló inequality

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