Inequalities and asymptotics for some moment integrals

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dc.contributor.authorAbi-Khuzam, Faruk F.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:35Z
dc.date.available2025-01-24T11:24:35Z
dc.date.issued2017
dc.description.abstractFor α> β− 1 > 0 , we obtain two-sided inequalities for the moment integral I(=∫R|x|−β|sinx|αdx. These are then used to give the exact asymptotic behavior of the integral as α→ ∞. The case I(α, α) corresponds to the asymptotics of Ball’s inequality, and I(α, [α] − 1) corresponds to a kind of novel “oscillatory” behavior. © 2017, The Author(s).
dc.identifier.doihttps://doi.org/10.1186/s13660-017-1532-7
dc.identifier.eid2-s2.0-85049175829
dc.identifier.urihttp://hdl.handle.net/10938/26031
dc.language.isoen
dc.publisherSpringer International Publishing
dc.relation.ispartofJournal of Inequalities and Applications
dc.sourceScopus
dc.subjectAsymptotics
dc.subjectBall’s inequality
dc.subjectCube slicing
dc.subjectMoments
dc.titleInequalities and asymptotics for some moment integrals
dc.typeArticle

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