On the \(L_p\)-dual mixed volumes

DOI10.1007/s10114-013-1182-8zbMath1291.52010OpenAlexW2075026876MaRDI QIDQ383616

Lian-Ying Chen, Chang-Jian Zhao

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1182-8

zbMATH Keywords

dual mixed volume\(L_p\)-dual mixed volume\(L_p\)-dual quermassintegral\(L_p\)-mean widthdual isoperimetric inequalitymean width

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Cites Work

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• \(L_{p}\)-Brunn-Minkowski inequality
• Submanifolds, isoperimetric inequalities and optimal transportation
• A dual of the isepiphanic inequality
• Dual mixed volumes
• An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies
• Stability of a reverse isoperimetric inequality
• A general Bieberbach inequality
• Width-Integrals of Convex Bodies

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