Further inequalities and properties of p-inner parallel bodies

DOI10.4153/S0008414X20000796zbMath1489.52007OpenAlexW3106207872MaRDI QIDQ5075983

Dongmeng Xi, Yingying Lou, Zhenbing Zeng

Publication date: 12 May 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008414x20000796

zbMATH Keywords

\(p\)-inner parallel bodytangential body\(0\)-extreme normal vector

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Inequalities for quermassintegrals of (new) p-parallel bodies

Cites Work

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• \(p\)-difference: a counterpart of Minkowski difference in the framework of the \(L_p\)-Brunn-Minkowski theory
• On inner parallel bodies and quermassintegrals
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Differentiability properties of the family of p-parallel bodies
• Convex Bodies The Brunn-MinkowskiTheory
• $p$-Means of Convex Bodies.

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