Diamond-$α$ Jensen's Inequality on Time Scales

Simple item page
dc.creatorAmmi, Moulay Rchid Sidi
dc.creatorFerreira, Rui A. C.
dc.creatorTorres, Delfim F. M.
dc.date2007-12-11
dc.date2008-04-09
dc.date.accessioned2026-07-07T09:58:20Z
dc.date.available2026-07-07T09:58:20Z
dc.descriptionThe theory and applications of dynamic derivatives on time scales has recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-$α$ derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen's inequality on time scales via the diamond-$α$ integral and present some corollaries, including Hölder's and Minkowski's diamond-$α$ integral inequalities.
dc.descriptionThis is a preprint of an article whose final and definitive form will appear in the \emph{Journal of Inequalities and Applications}, http://www.hindawi.com/journals/jia/. Accepted 07/April/2008
dc.identifierhttps://arxiv.org/abs/0712.1680
dc.identifierhttp://arxiv.org/abs/0712.1680
dc.identifierJournal of Inequalities and Applications, vol. 2008, Article ID 576876, 13 pages, 2008
dc.identifierdoi:10.1155/2008/576876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167682
dc.subjectClassical Analysis and ODEs
dc.subject26D15; 39A13
dc.titleDiamond-$α$ Jensen's Inequality on Time Scales
dc.typetext

Files

Collections

arXiv