Inequalities and asymptotics for some moment integrals

For [Formula: see text] , we obtain two-sided inequalities for the moment integral [Formula: see text] . These are then used to give the exact asymptotic behavior of the integral as [Formula: see text] . The case [Formula: see text] corresponds to the asymptotics of Ball’s inequality, and [Formula:...

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Autor principal: Abi-Khuzam, Faruk
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5640759/
https://www.ncbi.nlm.nih.gov/pubmed/29081633
http://dx.doi.org/10.1186/s13660-017-1532-7
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author Abi-Khuzam, Faruk
author_facet Abi-Khuzam, Faruk
author_sort Abi-Khuzam, Faruk
collection PubMed
description For [Formula: see text] , we obtain two-sided inequalities for the moment integral [Formula: see text] . These are then used to give the exact asymptotic behavior of the integral as [Formula: see text] . The case [Formula: see text] corresponds to the asymptotics of Ball’s inequality, and [Formula: see text] corresponds to a kind of novel “oscillatory” behavior.
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spelling pubmed-56407592017-10-26 Inequalities and asymptotics for some moment integrals Abi-Khuzam, Faruk J Inequal Appl Research For [Formula: see text] , we obtain two-sided inequalities for the moment integral [Formula: see text] . These are then used to give the exact asymptotic behavior of the integral as [Formula: see text] . The case [Formula: see text] corresponds to the asymptotics of Ball’s inequality, and [Formula: see text] corresponds to a kind of novel “oscillatory” behavior. Springer International Publishing 2017-10-13 2017 /pmc/articles/PMC5640759/ /pubmed/29081633 http://dx.doi.org/10.1186/s13660-017-1532-7 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Abi-Khuzam, Faruk
Inequalities and asymptotics for some moment integrals
title Inequalities and asymptotics for some moment integrals
title_full Inequalities and asymptotics for some moment integrals
title_fullStr Inequalities and asymptotics for some moment integrals
title_full_unstemmed Inequalities and asymptotics for some moment integrals
title_short Inequalities and asymptotics for some moment integrals
title_sort inequalities and asymptotics for some moment integrals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5640759/
https://www.ncbi.nlm.nih.gov/pubmed/29081633
http://dx.doi.org/10.1186/s13660-017-1532-7
work_keys_str_mv AT abikhuzamfaruk inequalitiesandasymptoticsforsomemomentintegrals

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