Extremal convex bodies for affine measures of symmetry
Volume 259 / 2021
Studia Mathematica 259 (2021), 153-173
MSC: Primary 52A23; Secondary 52A20, 52A40.
DOI: 10.4064/sm191111-6-8
Published online: 21 December 2020
Abstract
This paper is devoted to measures of symmetry based on the distance from the centroid to one of the centers of the John and the Löwner ellipsoid. The accuracy of the derived upper bounds for the relevant measures of symmetry is proven.
