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Relative log-concavity and a pair of triangle inequalities

✍ Scribed by Yu, Yaming


Book ID
124067182
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Year
2010
Tongue
English
Weight
145 KB
Volume
16
Category
Article
ISSN
1350-7265

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πŸ“œ SIMILAR VOLUMES


Log-Concavity and Related Properties of
✍ Edward A. Bender; E.Rodney Canfield πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 520 KB

Let A n denote the nth-cycle index polynomial, in the variables X j , for the symmetric group on n letters. We show that if the variables X j are assigned nonnegative real values which are log-concave, then the resulting quantities A n satisfy the two inequalities A n&1 A n+1 A 2 n ((n+1)Γ‚n)A n&1 A