On \(p\)-quermassintegral differences function

DOI10.1007/BF02829788zbMath1131.52005arXivmath/0607620OpenAlexW1635331010MaRDI QIDQ998219

Chang-Jian Zhao, Wing-Sum Cheung

Publication date: 29 August 2007

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607620

zbMATH Keywords

Brunn-Minkowski inequalityMinkowski inequalityquermassintegral difference

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

Related Items (6)

On Blaschke-Minkowski homomorphisms and radial Blaschke-Minkowski homomorphisms ⋮ On intersection and mixed intersection bodies ⋮ The dual difference Aleksandrov-Fenchel inequality ⋮ Radial Blaschke--Minkowski homomorphisms and volume differences ⋮ \(L_p\)-dual quermassintegral sums ⋮ Volume sums of polar Blaschke-Minkowski homomorphisms

Cites Work

• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Brunn-Minkowski inequality for mixed intersection bodies
• Capacitary inequalities of the Brunn-Minkowski type
• A Minkowski problem for electrostatic capacity
• The affine Sobolev inequality.
• Inequalities for dual quermassintegrals of mixed intersection bodies
• The Brunn-Minkowski inequality for volume differences
• On the case of equality in the Brunn-Minkowski inequality for capacity
• Brunn-Minkowski inequality for multiplicities
• A Brunn-Minkowski inequality for the integer lattice
• Inequalities for Mixed Projection Bodies
• The Brunn-Minkowski inequality
• $p$-Means of Convex Bodies.
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