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http://dx.doi.org/10.4134/JKMS.2013.50.3.465

TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS  

Baric, Josipa (Faculty of Electrical Engineering Mechanical Engineering and Naval Architecture University of Split)
Bibi, Rabia (Centre for Advanced Mathematics and Physics National University of Sciences and Technology)
Bohner, Martin (Department of Mathematics and Statistics Missouri University of Science and Technology)
Pecaric, Josip (Faculty of Textile Technology University of Zagreb)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 465-477 More about this Journal
Abstract
In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals.
Keywords
time scales; superquadratic functions; Jensen's inequality; H$\ddot{o}$lder's inequality; Minkowski's inequality; Jessen-Mercer's inequality; Slater's inequality; Hermite-Hadamard's inequality;
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Times Cited By KSCI : 1  (Citation Analysis)
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