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 › peer-review

14 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 2012

Bibliographical note

Funding Information:
Research of K. Oleszkiewicz was partially supported by Polish MNiSzW Grant N N201 397437.

Keywords

Factorial moments
Khinchine inequality
Log-concavity
Ultra log-concavity

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10.1007/s11117-011-0130-z

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title = "Khinchine type inequalities with optimal constants via ultra log-concavity",

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 = "Factorial moments, Khinchine inequality, Log-concavity, Ultra log-concavity",

author = "Piotr Nayar and Krzysztof Oleszkiewicz",

note = "Funding Information: Research of K. Oleszkiewicz was partially supported by Polish MNiSzW Grant N N201 397437.",

year = "2012",

month = jun,

doi = "10.1007/s11117-011-0130-z",

language = "English (US)",

volume = "16",

pages = "359--371",

journal = "Positivity",

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AU - Nayar, Piotr

AU - Oleszkiewicz, Krzysztof

N1 - Funding Information: Research of K. Oleszkiewicz was partially supported by Polish MNiSzW Grant N N201 397437.

PY - 2012/6

Y1 - 2012/6

N2 - 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.

AB - 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.

KW - Factorial moments

KW - Khinchine inequality

KW - Log-concavity

KW - Ultra log-concavity

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JO - Positivity

JF - Positivity

SN - 1385-1292

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ER -

Khinchine type inequalities with optimal constants via ultra log-concavity

Abstract

Bibliographical note

Keywords

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