DOI: 10.68381/jca33011 ISSN: 0944-6532

Lipschitzness of the Width and Diameter Functions of Convex Bodies in ℝ n

Oleg Mushkarov, Nikolai Nikolov, Pascal J. Thomas

Lipschitz constants for the width and diameter functions of a convex body in

\mathbb{R}^n R n
are found in terms of its diameter and thickness (maximum and minimum of both functions). Also, a dual approach to thickness is proposed.