Jensen's Functionals on Time Scales

We consider Jensen’s functionals on time scales and discuss its properties and applications. Further, we define weighted generalized and power means on time scales. By applying the properties of Jensen’s functionals on these means, we obtain several refinements and converses of Hölder’s inequality o...

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Bibliographic Details
Published inJournal of function spaces Vol. 2012; no. 2012; pp. 1 - 17
Main Authors Pecaric, Josip E., Bohner, Martin J., Bibi, Rabia, Anwar, Matloob
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2012
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Summary:We consider Jensen’s functionals on time scales and discuss its properties and applications. Further, we define weighted generalized and power means on time scales. By applying the properties of Jensen’s functionals on these means, we obtain several refinements and converses of Hölder’s inequality on time scales.
ISSN:2314-8896
2314-8888
DOI:10.1155/2012/384045