A lower bound for the isoperimetric deficit

Abstract

In this paper we provide a Bonnesen-style inequality which gives a lower bound for the isoperimetric deficit corresponding to a closed convex curve in terms of some geometrical invariants of this curve. Moreover we give a geometrical interpretation for the case when equality holds.

12 pages

Cited by in corpus (2)

• A note on Hurwitz's inequality
• On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set