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
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container_end_page 14
container_issue 2014
container_start_page 1
container_title International journal of analysis
container_volume 2014
creator Pecaric, Josip E.
Bohner, Martin J.
Bibi, Rabia
Anwar, Matloob
description 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.
doi_str_mv 10.1155/2014/126797
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subjects Colleges & universities
Conversion
Functionals
Hypotheses
Inequalities
Inequality
Integrals
Mathematical analysis
Mathematical functions
Time
Variables
title Jensen Functionals on Time Scales for Several Variables
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