COVERING CONVEX HULLS OF COMPACT CONVEX SETS WITH SMALLER HOMOTHETIC COPIES

Estimations of the covering functional of a convex body that can he expressed as the convex hull of a finite number of compact convex sets are presented. In particular, an upper bound of the covering functional of zonotopes that can be written as the sum of n + k segments is given.

Automated summary

Estimations of the covering functional of a convex body that can be expressed as the convex hull of a finite number of compact convex sets are presented, with a particular focus on providing an upper bound for the covering functional of zonotopes that can be written as the sum of n + k segments.