F. G. Avkhadiev, R. G. Salahudinov, “Bilateral isoperimetric inequalities for boundary moments of plane domains”, Lobachevskii J. Math., 2001, Volume 9,Pages <nobr>3

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Bilateral isoperimetric inequalities for boundary moments of plane domains

F. G. Avkhadiev, R. G. Salahudinov

Kazan State University

Abstract: 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).

Keywords: isoperimetric inequality, moment of domain.

Received: 17.07.2001

Language: English