Khinchine type inequalities with optimal constants via ultra log-concavity

Piotr Nayar; Krzysztof Oleszkiewicz

doi:10.1007/s11117-011-0130-z

Khinchine type inequalities with optimal constants via ultra log-concavity

Piotr Nayar, Krzysztof Oleszkiewicz

Institute for Mathematics and its Applications

Research output: Contribution to journal › Article

9 Scopus citations

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.

Original language	English (US)
Pages (from-to)	359-371
Number of pages	13
Journal	Positivity
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s11117-011-0130-z
State	Published - Jun 1 2012

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Keywords

Factorial moments
Khinchine inequality
Log-concavity
Ultra log-concavity

Cite this

Nayar, P., & Oleszkiewicz, K. (2012). Khinchine type inequalities with optimal constants via ultra log-concavity. Positivity, 16(2), 359-371. https://doi.org/10.1007/s11117-011-0130-z

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10.1007/s11117-011-0130-z