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.
Bibliographical noteFunding Information:
Research of K. Oleszkiewicz was partially supported by Polish MNiSzW Grant N N201 397437.
- Factorial moments
- Khinchine inequality
- Ultra log-concavity