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Matematicheskie Zametki, 1971, Volume 9, Issue 2, Pages 113–119
(Mi mzm9650)
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This article is cited in 1 scientific paper (total in 2 paper)
A cyclic inequality
V. G. Drinfel'd M. V. Lomonosov Moscow State University
Abstract:
The existence of $\lim\limits_{n\to\infty}\gamma_n$, where
$$
\gamma_n=\inf_{a_i>0}\left\{\left[\frac{a_1}{a_2+a_3}+\dots+\frac{a_{n-1}}{a_n+a_1}+\frac{a_n}{a_1+a_2}\right]:\frac{n}2\right\}.
$$
is proved, and a simple method of calculating it is derived.
Received: 24.11.1969
Citation:
V. G. Drinfel'd, “A cyclic inequality”, Mat. Zametki, 9:2 (1971), 113–119; Math. Notes, 9:2 (1971), 68–71
Linking options:
https://www.mathnet.ru/eng/mzm9650 https://www.mathnet.ru/eng/mzm/v9/i2/p113
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Abstract page: | 607 | Full-text PDF : | 381 | First page: | 1 |
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