Remarks on the equality case of the Bonnesen inequality

DOI10.1007/s00013-012-0418-7zbMath1259.52004arXiv1205.3004OpenAlexW2594169177MaRDI QIDQ453171

Oriol Serra, Károly jun. Böröczky

Publication date: 18 September 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3004

zbMATH Keywords

Brunn-Minkowski inequalitygeometric inequalitiesBonnesen's 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) Inverse problems of additive number theory, including sumsets (11P70)

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Cites Work

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• Properties of two-dimensional sets with small sumset
• Two maximal volume hyperplane sections of a convex body generally intersect
• Inverse additive problems for Minkowski sumsets. II
• Inverse additive problems for Minkowski sumsets. I
• The Brunn-Minkowski inequality
• Convex and Discrete Geometry

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