Abstract
We derive Khinchine type inequalities for even moments with optimal constants from the result of Walkup (J Appl Probab 13:76-85, 1976) which states that the class of log-concave sequences is closed under the binomial convolution.
Original language | English (US) |
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Pages (from-to) | 359-371 |
Number of pages | 13 |
Journal | Positivity |
Volume | 16 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2012 |
Bibliographical note
Funding Information:Research of K. Oleszkiewicz was partially supported by Polish MNiSzW Grant N N201 397437.
Keywords
- Factorial moments
- Khinchine inequality
- Log-concavity
- Ultra log-concavity