Grünbaum's inequality for projections

DOI10.1016/j.jfa.2016.09.009zbMath1375.52008OpenAlexW2521638546MaRDI QIDQ507423

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 February 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.09.009

zbMATH Keywords

projectionsconvex bodiescentroidGrünbaum's inequality

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 (6)

Grünbaum's inequality for sections ⋮ Consequences and extensions of the Brunn-Minkowski theorem ⋮ On general concavity extensions of Grünbaum type inequalities ⋮ On Grünbaum type inequalities ⋮ A generalization of Winternitz’s theorem and its discrete version ⋮ Applications of Grünbaum-type inequalities

Cites Work

• Partitions of mass-distributions and of convex bodies by hyperplanes
• On the volume of sections of a convex body by cones
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