Abstract
We establish kinematic formulas for dual quermassintegrals of star bodies and for chord power integrals of convex bodies by using dual mixed volumes. These formulas are extensions of the fundamental kinematic formula involving quermassintegrals to the cases of dual quermassintegrals and chord power integrals. Applications to geometric probability are considered.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 985-995 |
| Number of pages | 11 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 351 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Chord power integral
- Convex body
- Dual mixed volume
- Dual quermassintegral
- Geometric probability
- Kinematic formula
- Star body
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics