Boundary restricted Brunn-Minkowski inequalities

DOI10.1142/S0219199723500566zbMATH Open1546.52002MaRDI QIDQ6592229

Boaz A. Slomka, Tomer Falah, Shiri Artstein-Avidan

Publication date: 24 August 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex bodyboundaryMinkowski additionBrunn-Minkowski inequality

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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

• Exact Minkowski sums of polygons with holes
• Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality
• Discrete variants of Brunn-Minkowski type inequalities
• On discrete \(L_p\) Brunn-Minkowski type inequalities
• Brunn-Minkowski type inequalities for the lattice point enumerator
• On discrete Brunn-Minkowski and isoperimetric type inequalities
• Asymptotic Geometric Analysis, Part II
• Asymptotic Geometric Analysis, Part I
• Convex Bodies The Brunn-MinkowskiTheory
• Poisson processes and a log-concave Bernstein theorem
• Volume of the Minkowski sums of star-shaped sets
• Generalization of Klain’s theorem to Minkowski symmetrization of compact sets and related topics
• On Rogers–Shephard-type inequalities for the lattice point enumerator

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