Jensen Functionals on Time Scales for Several Variables

Jensen Functionals on Time Scales for Several Variables

We define Jensen functionals and concerned generalized means for several variables on time scales. We derive properties of Jensen functionals and apply them to generalized means. In this setting, we obtain generalizations, refinements, and conversions of many remarkable inequalities.

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Veröffentlicht in:International journal of analysis 2014-01, Vol.2014 (2014), p.1-14
Hauptverfasser: Pecaric, Josip E., Bohner, Martin J., Bibi, Rabia, Anwar, Matloob
Format: Artikel
Sprache:eng
Schlagworte:
Colleges & universities
Conversion
Functionals
Hypotheses
Inequalities
Inequality
Integrals
Mathematical analysis
Mathematical functions
Time
Variables
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Beschreibung
Zusammenfassung:We define Jensen functionals and concerned generalized means for several variables on time scales. We derive properties of Jensen functionals and apply them to generalized means. In this setting, we obtain generalizations, refinements, and conversions of many remarkable inequalities.
ISSN:2314-498X
2314-4998
DOI:10.1155/2014/126797