Volume product for pedal bodies (Q2770340)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Volume product for pedal bodies |
scientific article; zbMATH DE number 1703157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Volume product for pedal bodies |
scientific article; zbMATH DE number 1703157 |
Statements
9 December 2002
0 references
Minkowski space
0 references
convex body
0 references
Minkowski volume
0 references
pedal body
0 references
polar dual
0 references
Volume product for pedal bodies (English)
0 references
Let \(K\) be a convex body of constant relative breadth and \(K^*\) its polar dual with respect to the Euclidean unit circle. Lower bounds for \(V(PK^*)\) (in the general case) and \(V(PK)V(PK^*)\) (when \(K\) is a planar body) are obtained. (Here, \(V(.)\) is the Minkowski volume and \(P[\;]\) stands for the pedal body application).
0 references
0.7864730954170227
0 references
0.7496445775032043
0 references
0.7490832805633545
0 references
0.7461721897125244
0 references
