Published Paper

Inserted: 5 jun 2025
Last Updated: 20 mar 2026

Journal: J. Convex Anal.
Year: 2025

Abstract:

In this work, we establish a sharp form of a nonlocal quantitative isoperimetric inequality involving the barycentric asymmetry for convex sets. This result can be seen as the nonlocal analogue of the one obtained by Fuglede in 1993. A main tool in the proof is an estimate from below of the fractional perimeter by a negative power of the inradius for convex sets.