Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$
Metric Geometry
2026-02-17 v1
Abstract
Lipschitz constants for the width and diameter functions of a convex body in are found in terms of its diameter and thickness (maximum and minimum of both functions). Also, a dual approach to thickness is proposed.
Cite
@article{arxiv.2406.12537,
title = {Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$},
author = {Oleg Mushkarov and Nikolai Nikolov and Pascal J. Thomas},
journal= {arXiv preprint arXiv:2406.12537},
year = {2026}
}