Mean dual and harmonic cross-sectional measures

DOI10.1007/BF02413172zbMath0411.52004MaRDI QIDQ1259278

Erwin Lutwak

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

harmonic cross-sectional measuresHarmonische Quermassintegrale

Mathematics Subject Classification ID

Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Rotation Invariant Valuations, Intersections of dilatates of convex bodies, Random inscribed polytopes in projective geometries, The Orlicz Brunn-Minkowski inequality for dual harmonic quermassintegrals, Intersection bodies and dual mixed volumes, From John to Gauss--John positions via dual mixed volumes, Norm estimates for \(k\)-plane transforms and geometric inequalities, Lutwak-Petty projection inequalities for Minkowski valuations and their duals, Some inequalities for \(p\)-quermassintegrals, The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities, Asymptotic normality for random polytopes in non-Euclidean geometries, An Inequality for Sections and Projections of a Convex Set, An extremum problem for the power moment of a convex polygon contained in a disc, Dual Orlicz mixed affine quermassintegrals, A dual of the isepiphanic inequality, Inequalities for Hadwiger's harmonic quermassintegrals, Affine isoperimetric inequalities for intersection mean ellipsoids, A General Isepiphanic Inequality

Cites Work

• Dual mixed volumes
• A Characterization of the n-Dimensional Parallelotope
• Width-Integrals of Convex Bodies
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