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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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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Abstract 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.
AbstractList 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.
Author Anwar, Matloob
Bibi, Rabia
Bohner, Martin J.
Pecaric, Josip E.
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