The definition of Minkowski-Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn-Minkowski-Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets.
- Brunn-Minkowski inequality
- Brunn-Minkowski-Firey inequality
- Minkowski combinations
- Minkowski-Firey L -combinations
ASJC Scopus subject areas
- Applied Mathematics