A new reverse isoperimetric inequality and its stability
The author deals with the reverse isoperimetric inequality for a closed and strictly convex curve in the Euclidean plane \(\mathbb R^2\) involving the following geometric functionals associated to the given convex curve: length, areas of the region, respectively, included by the curve and the locus of curvature centers, and the integral of the radius of curvature. He also investigates the stability property of such an inequality.
scientific article; zbMATH DE number 6074820