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Lobachevskii Journal of Mathematics, 2001, Volume 9, Pages 3–5 (Mi ljm123)  
This article is cited in 1 scientific paper (total in 1 paper)

Bilateral isoperimetric inequalities for boundary moments of plane domains

F. G. Avkhadiev, R. G. Salahudinov

Kazan State University
Full-text PDF (80 kB) Citations (1)
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
Bibliographic databases:
Language: English
Citation: F. G. Avkhadiev, R. G. Salahudinov, “Bilateral isoperimetric inequalities for boundary moments of plane domains”, Lobachevskii J. Math., 9 (2001), 3–5
Citation in format AMSBIB
\Bibitem{AvkSal01}
\by F.~G.~Avkhadiev, R.~G.~Salahudinov
\paper Bilateral isoperimetric inequalities for boundary moments of plane domains
\jour Lobachevskii J. Math.
\yr 2001
\vol 9
\pages 3--5
\mathnet{http://mi.mathnet.ru/ljm123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1884104}
\zmath{https://zbmath.org/?q=an:0999.30002}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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