Bilateral isoperimetric inequalities for boundary moments of plane domains
Lobachevskii journal of mathematics, Tome 9 (2001), pp. 3-5
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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
Mots-clés : moment of domain.
Mots-clés : moment of domain.
@article{LJM_2001_9_a0,
author = {F. G. Avkhadiev and R. G. Salahudinov},
title = {Bilateral isoperimetric inequalities for boundary moments of plane domains},
journal = {Lobachevskii journal of mathematics},
pages = {3--5},
year = {2001},
volume = {9},
language = {en},
url = {http://geodesic.mathdoc.fr/item/LJM_2001_9_a0/}
}
F. G. Avkhadiev; R. G. Salahudinov. Bilateral isoperimetric inequalities for boundary moments of plane domains. Lobachevskii journal of mathematics, Tome 9 (2001), pp. 3-5. http://geodesic.mathdoc.fr/item/LJM_2001_9_a0/