Analogs of the Pólya–Szegő and Makai Inequalities for the Euclidean Moment of Inertia of a Convex Domain.

In this paper, we obtain two-sided estimates for the Euclidean moment of inertia I2(G) of a convex domain G on the plane in terms of geometric characteristics of this domain similar to the Pólya–Szegő and Makai inequalities for the torsional rigidity. [ABSTRACT FROM AUTHOR]