On Brunn-Minkowski-type inequalities for polar bodies

DOI10.1007/s12220-014-9541-yzbMath1339.52007OpenAlexW1971480071MaRDI QIDQ254244

Jesús Yepes Nicolás, María A. Hernández Cifre

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.1007/s12220-014-9541-y

zbMATH Keywords

mixed volumeBrunn-Minkowski inequalityFirey additionpolar bodyquermassintegralsRogers-Shepard inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

On Brunn-Minkowski type inequalities and overdetermined problem for \(p\)-capacity ⋮ On Discrete LOG-Brunn--Minkowski Type Inequalities ⋮ Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms ⋮ A reverse Rogers-Shephard inequality for log-concave functions ⋮ On Brunn-Minkowski type inequality

Cites Work

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• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The difference body of a convex body
• Autour de l'inégalité de Brunn-Minkowski
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Mean cross-section measures of harmonic means of convex bodies
• Convex Bodies Associated with a Given Convex Body
• The Brunn-Minkowski inequality
• Convex and Discrete Geometry
• Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
• Convex Bodies The Brunn-MinkowskiTheory
• $p$-Means of Convex Bodies.

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