The Brunn-Minkowski inequality, Minkowski's first inequality, and their duals

DOI10.1006/jmaa.2000.6774zbMath0959.52007OpenAlexW1987697227MaRDI QIDQ1570213

Salvatore Vassallo, Richard J. Gardner

Publication date: 1 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6774

zbMATH Keywords

dual Brunn-Minkowski theoryBrunn-Minkowski theoremMinkowski's first inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

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• Intersection bodies and dual mixed volumes
• On a class of integral inequalities and their measure-theoretic consequences
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• Stability of inequalities in the dual Brunn-Minkowski theory
• A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
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• A positive answer to the Busemann-Petty problem in three dimensions
• Dual mixed volumes
• Intersection Bodies and the Busemann-Petty Problem
• Inequalities for dual isoperimetric deficits
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