On the volume of sections of a convex body by cones

DOI10.1090/proc/13457zbMath1365.52004arXiv1604.05351OpenAlexW2964205983MaRDI QIDQ2980834

Matthieu Fradelizi, Vladyslav Yaskin, Mathieu Meyer

Publication date: 4 May 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05351

zbMATH Keywords

convex bodycentroidsection\(s\)-concave function

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

Grünbaum's inequality for sections ⋮ Consequences and extensions of the Brunn-Minkowski theorem ⋮ On general concavity extensions of Grünbaum type inequalities ⋮ Approximating a convex body by a polytope using the epsilon-net theorem ⋮ On Grünbaum type inequalities ⋮ Grünbaum's inequality for projections ⋮ A generalization of Winternitz’s theorem and its discrete version ⋮ Applications of Grünbaum-type inequalities ⋮ A characterization of centrally symmetric convex bodies in terms of visual cones

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