Inequalities for quermassintegrals of (new) p-parallel bodies

DOI10.7153/mia-2021-24-78zbMath1487.52006OpenAlexW3208136030MaRDI QIDQ5030408

Zhenbing Zeng, Yingying Lou

Publication date: 17 February 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-78

zbMATH Keywords

mixed volume\(p\) parallel body0-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)

Cites Work

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• \(p\)-difference: a counterpart of Minkowski difference in the framework of the \(L_p\)-Brunn-Minkowski theory
• Operations between sets in geometry
• The Brunn-Minkowski-Firey inequality for nonconvex sets
• Further inequalities and properties of p-inner parallel bodies
• On differentiability of quermassintegrals
• Convex Bodies The Brunn-MinkowskiTheory
• $p$-Means of Convex Bodies.

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