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The first variation of the total mass of log-concave functions and related inequalities

✍ Scribed by Colesanti, Andrea; Fragalà, Ilaria


Book ID
120602690
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
359 KB
Volume
244
Category
Article
ISSN
0001-8708

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📜 SIMILAR VOLUMES


Log-Concavity and Related Properties of
✍ Edward A. Bender; E.Rodney Canfield 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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)Ân)A n&1 A