Jensen's Functionals on Time Scales

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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Veröffentlicht in:Journal of function spaces 2012-01, Vol.2012 (2012), p.1-17
Hauptverfasser: Anwar, Matloob, Bibi, Rabia, Bohner, Martin J., Pecaric, Josip E.
Format: Artikel
Sprache:eng
Schlagworte:
Function space
Functionals
Inequalities
Inequality
Integrals
Mathematical functions
Studies
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Beschreibung
Zusammenfassung: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:0972-6802
2314-8896
1758-4965
2314-8888
DOI:10.1155/2012/384045