A sharp Blaschke-Santaló inequality for \(\alpha \)-concave functions

DOI10.1007/s10711-013-9917-3zbMath1320.52010OpenAlexW2045101797MaRDI QIDQ464247

Liran Rotem

Publication date: 17 October 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-013-9917-3

zbMATH Keywords

polaritylog-concavityBlaschke-Santaló inequality\(\alpha\)-concavity

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

A zoo of dualities ⋮ On the curvature of homogeneous functions ⋮ On mixed quermassintegral for log-concave functions ⋮ Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian ⋮ The functional inequality for the mixed quermassintegral

Cites Work

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• Support functions and mean width for \(\alpha\)-concave functions
• Hidden structures in the class of convex functions and a new duality transform
• A characterization of the concept of duality
• Convex measures on locally convex spaces
• Convex set functions in d-space
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Convex bodies and norms associated to convex measures
• Some functional forms of Blaschke-Santaló inequality
• On the Blaschke-Santaló inequality
• A note on Santaló inequality for the polarity transform and its reverse
• The Santaló point of a function, and a functional form of the Santaló inequality
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE
• r-convex functions

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