dc.contributor.author Yang Z-H. dc.contributor.author Zheng, S. dc.date.accessioned 2017-07-19T12:03:03Z dc.date.available 2017-07-19T12:03:03Z dc.date.issued 2017-07-18 dc.identifier.issn 1331-4343 dc.identifier.uri http://hdl.handle.net/20.500.11824/698 dc.description.abstract Let $I_{v}\left( x\right)$ be modified Bessel functions of the first en_US kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right)$. As a direct consequence, it deduces some known results including Tur\'{a}n-type inequalities and log-convexity or log-concavity of $I_{v}$ in $v$, as well as it yields some new and interesting monotonicity and convexity concerning the ratios of modified Bessel functions of the first kind. In addition, a few of sharp bounds involving $I_{v}\left( x\right)$ and their ratios are presented. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Modified Bessel functions of the first kind en_US dc.subject Monotonicity en_US dc.subject convexity en_US dc.subject functional inequality en_US dc.subject Turán type inequality en_US dc.title Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications en_US dc.type info:eu-repo/semantics/article en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/669689 en_US dc.rights.accessRights info:eu-repo/semantics/embargoedAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Mathematical Inequalities & Applications en_US
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