Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625193 | Advances in Applied Mathematics | 2008 | 15 Pages |
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