On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body

DOI10.1090/S0002-9939-02-06329-3zbMath1003.52005MaRDI QIDQ4529690

Grigoris Paouris, Marianna Hartzoulaki, Apostolos Giannopoulos

Publication date: 6 May 2002

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

zbMATH Keywords

Aleksandrov-Fenchel inequalitymixed volumesquermassintegral

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)

Related Items (11)

On the quermassintegrals of convex bodies ⋮ Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies ⋮ Vector-valued Maclaurin inequalities ⋮ On a version of the slicing problem for the surface area of convex bodies ⋮ Short note on some geometric inequalities derived from matrix inequalities ⋮ On the volume of the Minkowski sum of zonoids ⋮ Some inequalities about mixed volumes ⋮ REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES ⋮ Rogers-Shephard and local Loomis-Whitney type inequalities ⋮ Wulff shapes and a characterization of simplices via a Bezout type inequality ⋮ On affine invariant and local Loomis–Whitney type inequalities

Cites Work

• Some inequalities about mixed volumes
• Verallgemeinerung eines Mittelwertsatzes von J. Favard für positive konkave Funktionen
• Extremal Properties Of Hermitian Matrices
• Information theoretic inequalities
• An inequality related to the isoperimetric inequality
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