Article ID Journal Published Year Pages File Type
4624870 Advances in Applied Mathematics 2012 7 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics