The Brunn-Minkowski inequality for volume differences

DOI10.1016/S0196-8858(03)00095-2zbMath1056.52003MaRDI QIDQ1883408

Gang Song Leng

Publication date: 12 October 2004

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Brunn-Minkowski inequalityMinkowski inequalityConvex bodyMixed volumeIsoperimetric inequalityCompact domainQuermassintegral differenceVolume difference

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (14)

On Blaschke-Minkowski homomorphisms and radial Blaschke-Minkowski homomorphisms ⋮ The dual difference Aleksandrov-Fenchel inequality ⋮ Radial Blaschke--Minkowski homomorphisms and volume differences ⋮ Cyclic Brunn-Minkowski inequalities for dual mixed volumes ⋮ \(L_p\)-dual quermassintegral sums ⋮ Brunn-Minkowski inequalities for star duals of intersection bodies and two additions ⋮ Dual Brunn-Minkowski inequality for volume differences ⋮ Inequalities for dual quermassintegrals of mixed intersection bodies ⋮ Radial mean bodies of simplices ⋮ A generalization of the matrix form of the Brunn-Minkowski inequality ⋮ On \(p\)-quermassintegral differences function ⋮ Organic combinations of quermassintegrals and dual quermassintegrals ⋮ Inclusion measures of convex bodies ( I ) ⋮ Volume sums of polar Blaschke-Minkowski homomorphisms

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