Bilateral Isoperimetric Inequalities for Boundary Moments of Plane Domains
(Lobachevskii Journal of Mathematics, Volume IX)
In this paper we prove some analogs of the St Venant conjecture on the torsional rigidity. One of them is connected with Leavitt and Ungar's inequality (Leavitt, J. Ungar, P., Comment. Pure Appl. Math., 15 (1962), 35-37).