Khinchine type inequalities with optimal constants via ultra log-concavity
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- Nayar, P. & Oleszkiewicz, K. Positivity (2012) 16: 359. doi:10.1007/s11117-011-0130-z
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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.