English

Extremal convex bodies for affine measures of symmetry

Metric Geometry 2019-08-06 v1 Functional Analysis

Abstract

This paper is devoted to measures of symmetry based on distance between centroid and one of the centers of John and Lowner ellipsoid. The author proves the accuracy of the derived upper bounds for the considered measures of symmetry.

Keywords

Cite

@article{arxiv.1908.01058,
  title  = {Extremal convex bodies for affine measures of symmetry},
  author = {Evgenii Safronenko},
  journal= {arXiv preprint arXiv:1908.01058},
  year   = {2019}
}