On the Aleksandrov-Fenchel inequality involving zonoids

DOI10.1007/BF00181617zbMath0644.52006OpenAlexW2008565479MaRDI QIDQ1102547

Rolf Schneider

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181617

zbMATH Keywords

convex bodiesmixed volumeszonoidsextreme supporting hyperplanesquadratic Alexandrov-Fenchel inequality

Mathematics Subject Classification ID

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

Related Items (8)

The extremals of Minkowski's quadratic inequality ⋮ A contribution to equality in Alexandrov-Fenchel's inequality ⋮ The zonoid algebra, generalized mixed volumes, and random determinants ⋮ Combinatorial geometry of belt bodies ⋮ Reverse inequalities for zonoids and their application ⋮ On the Aleksandrov-Fenchel inequality for convex bodies. I ⋮ Flag Measures for Convex Bodies ⋮ The functional form of the dual mixed volume

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