Khinchine type inequalities with optimal constants via ultra log-concavity
- First Online:
- 282 Downloads
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.
KeywordsLog-concavity Ultra log-concavity Khinchine inequality Factorial moments
Mathematics Subject Classification (2000)60E15 26D15
© The Author(s) 2011