, Volume 16, Issue 2, pp 359-371

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Khinchine type inequalities with optimal constants via ultra log-concavity

  • Piotr NayarAffiliated withInstitute of Mathematics, University of Warsaw Email author 
  • , Krzysztof OleszkiewiczAffiliated withInstitute of Mathematics, University of WarsawInstitute of Mathematics, Polish Academy of Sciences


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.


Log-concavity Ultra log-concavity Khinchine inequality Factorial moments

Mathematics Subject Classification (2000)

60E15 26D15