, Volume 16, Issue 2, pp 359–371

Khinchine type inequalities with optimal constants via ultra log-concavity

Open AccessArticle

DOI: 10.1007/s11117-011-0130-z

Cite this article as:
Nayar, P. & Oleszkiewicz, K. Positivity (2012) 16: 359. doi:10.1007/s11117-011-0130-z


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-concavityUltra log-concavityKhinchine inequalityFactorial moments

Mathematics Subject Classification (2000)

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© The Author(s) 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of WarsawWarsawPoland
  2. 2.Institute of MathematicsPolish Academy of SciencesWarsawPoland