Dual Brunn-Minkowski inequality for volume differences

DOI10.1007/s10711-009-9414-xzbMath1202.52008OpenAlexW1998566634MaRDI QIDQ964202

Songjun Lv

Publication date: 15 April 2010

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

Full work available at URL: https://doi.org/10.1007/s10711-009-9414-x

zbMATH Keywords

star bodiesdual Brunn-Minkowski inequalitydual mixed volume difference

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (10)

Generalization of the Brunn-Minkowski inequality in the form of Hadwiger for power moments ⋮ On Blaschke-Minkowski homomorphisms and radial Blaschke-Minkowski homomorphisms ⋮ The dual difference Aleksandrov-Fenchel inequality ⋮ Generalizations of Popoviciu's and Bellman's inequalities ⋮ Radial Blaschke--Minkowski homomorphisms and volume differences ⋮ Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms ⋮ Brunn-Minkowski type inequalities for conformal and Euclidean moments of domains ⋮ Organic combinations of quermassintegrals and dual quermassintegrals ⋮ Inequalities for mixed width-integrals ⋮ Volume sums of polar Blaschke-Minkowski homomorphisms

Cites Work

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• Intersection bodies and dual mixed volumes
• Mixed width-integrals of convex bodies
• Inequalities for indefinite forms
• The affine Sobolev inequality.
• The Brunn-Minkowski inequality for volume differences
• Dual mixed volumes
• Width-Integrals of Convex Bodies
• The Brunn-Minkowski inequality

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