Extremizers and stability of the Betke--Weil inequality

Ferenc A. Bartha, Ferenc Bencs, Károly J. Böröczky +1

Let $K$ be a compact convex domain in the Euclidean plane. The mixed area $A(K,-K)$ of $K$ and $-K$ can be bounded from above by $1/(6\sqrt{3})L(K{)}^2$, where $L(K)$ is the perimete…