Abstract
Suppose two bounded subsets of Rn are given. Parametrise the Minkowski combination of these sets by t. The Classical Brunn-Minkowski Theorem asserts that the 1/n-th power of the volume of the convex combination is a concave function of t. A Brunn-Minkowski-style theorem is established for another geometric domain functional.
| Original language | English |
|---|---|
| Pages (from-to) | online - approx 5-20pp |
| Journal | Journal of Inequalities in Pure and Applied Mathematics |
| Volume | 8 |
| Issue number | 2 |
| Publication status | Published - 2007 |