Article ID Journal Published Year Pages File Type
4625193 Advances in Applied Mathematics 2008 15 Pages PDF
Abstract

By using the method of mixed volumes, we give sharp bounds for inclusion measures of convex bodies in n-dimensional Euclidean space. In the special cases where the random convex body is the unit ball or when n=3, neater and simpler bounds are obtained. All the associated inequalities proved are new isoperimetric-type inequalities.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics