Positivity

, Volume 16, Issue 2, pp 359–371

Khinchine type inequalities with optimal constants via ultra log-concavity

Authors

    • Institute of MathematicsUniversity of Warsaw
  • Krzysztof Oleszkiewicz
    • Institute of MathematicsUniversity of Warsaw
    • Institute of MathematicsPolish Academy of Sciences
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

Abstract

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.

Keywords

Log-concavityUltra log-concavityKhinchine inequalityFactorial moments

Mathematics Subject Classification (2000)

60E1526D15
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Copyright information

© The Author(s) 2011