New inequalities for star bodies

DOI10.1186/s13660-016-1081-5zbMath1347.52010OpenAlexW2418516422WikidataQ59467210 ScholiaQ59467210MaRDI QIDQ289972

Liangcai Zhang, Min Zhou, Yan Xiong Yan

Publication date: 1 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1081-5

zbMATH Keywords

mixed volumesBlaschke additionBrunn-Minkowski theorydual Brunn-Minkowski theoryradial addition

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)

Cites Work

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• Intersection bodies and dual mixed volumes
• A positive answer to the Busemann-Petty problem in three dimensions
• Star valuations and dual mixed volumes
• Centroid Bodies and Dual Mixed Volumes
• Intersection Bodies and the Busemann-Petty Problem
• On the Busemann-Petty problem\\ concerning central sections\\ of centrally symmetric convex bodies
• Centered Bodies and Dual Mixed Volumes
• Intersection bodies and ellipsoids
• Convex Bodies The Brunn-MinkowskiTheory

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