The case of equality for an inverse Santaló functional inequality

DOI10.1515/ADVGEOM.2010.026zbMath1215.52005MaRDI QIDQ3055466

Matthieu Fradelizi, Mathieu Meyer, Shlomo Reisner, Yehoram Gordon

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

Legendre transformMahler's conjecturelog-concave functionBlaschke-Santalo inequalityunconditional function

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

The first variation of the total mass of log-concave functions and related inequalities ⋮ On mixed quermassintegral for log-concave functions ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ Stability of the reverse Blaschke-Santaló inequality for zonoids and applications ⋮ Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies ⋮ An application of shadow systems to Mahler's conjecture ⋮ The functional inequality for the mixed quermassintegral

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)
• The structure of finite dimensional Banach spaces with the 3.2. intersection property
• Some functional forms of Blaschke-Santaló inequality
• Minimal Volume-Product in Banach Spaces with a 1-Unconditional Basis
• The Santaló point of a function, and a functional form of the Santaló inequality

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