Functional inequalities related to Mahler's conjecture

DOI10.1007/s00605-008-0064-0zbMath1194.26017OpenAlexW1971263278WikidataQ122911956 ScholiaQ122911956MaRDI QIDQ2655197

Matthieu Fradelizi, Mathieu Meyer

Publication date: 22 January 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0064-0

zbMATH Keywords

convex bodiesconcave functionMahler's conjecturelog-concave functioninverse Santaló inequalityLégendre transform

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

CONCAVITY PROPERTIES OF EXTENSIONS OF THE PARALLEL VOLUME ⋮ Transport proofs of some functional inverse Santaló inequalities ⋮ Minimal volume product near Hanner polytopes ⋮ Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies ⋮ A GEOMETRIC APPROACH TO RADIAL CORRELATION TYPE PROBLEMS

Cites Work

• Some functional inverse Santaló inequalities
• Increasing functions and inverse Santaló inequality for unconditional functions
• Une caractérisation volumique de certains espaces normés de dimension finie. (A volume characterization of some finite dimensional normed spaces)
• Convex bodies with minimal volume product in \(\mathbb{R}^ 2\)
• Inequalities involving integrals of polar-conjugate concave functions
• Some functional forms of Blaschke-Santaló inequality
• The Santaló point of a function, and a functional form of the Santaló inequality
• A theorem on transfer for convex bodies

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