The mean volume of boxes and cylinders circumscribed about a convex body |
| |
Authors: | G. D. Chakerian |
| |
Affiliation: | (1) University of California, Davis |
| |
Abstract: | The mean volume of boxes circumscribed about a convex bodyK of given volume is a minimum whenK is a ball. This follows from a more general inequality, where the volume of circumscribed boxes is replaced by the product of quermassintegrals of the projections ofK on appropriate lower dimensional subspaces. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |