Volume inequalities for \(L_0\)-Minkowski combination of convex bodies

DOI10.1186/1029-242X-2013-133zbMath1284.52011WikidataQ59301732 ScholiaQ59301732MaRDI QIDQ2636673

Qixia Liu, Gang Song Leng

Publication date: 31 January 2014

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

zbMATH Keywords

Wulff shape\(L_0\)-Brunn-Minkowski inequality\(L_0\)-Minkowski combinationcone-volume probability measurenormalized \(L_0\)-mixed volume

Mathematics Subject Classification ID

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

Cites Work

• Mean width inequalities for isotropic measures
• The log-Brunn-Minkowski inequality
• The even Orlicz Minkowski problem
• Intersection bodies and dual mixed volumes
• On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
• A new ellipsoid associated with convex bodies
• The discrete planar \(L_0\)-Minkowski problem
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• The Brunn-Minkowski inequality
• $L_p$ John Ellipsoids
• Volume inequalities for isotropic measures
• The Geometry of L₀

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