The cone volume measure of antipodal points

2014/10/04 by Károly J. Böröczky, Böröczky, Karoly J., Pál Hegedüs +1 · 1 citation
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Metric Geometry (math.MG) #Morphological variations and asymmetry #Point processes and geometric inequalities

paper · doi:10.48550/arxiv.1410.1066

openalex publication_date 2014/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The optimal condition of the cone volume measure of a pair of antopodal points is proved and analyzed.

Citations

• The Lp Minkowski problem for polytopes for 0 < p < 1

Cited by

• On polynomial inequalities for cone-volumes of polytopes

Related

• Cone-volume measures of polytopes
• Extremal antipodal polygons and polytopes
• Volume of Intersection of a Cone with a Sphere
• Regularity of the volume function
• Weighted cone-volume measures of pseudo-cones