TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS

Title & Authors
TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS
Baric, Josipa; Bibi, Rabia; Bohner, Martin; Pecaric, Josip;

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$\small{\ddot{o}}$lder's inequality;Minkowski's inequality;Jessen-Mercer's inequality;Slater's inequality;Hermite-Hadamard's inequality;
Language
English
Cited by
1.
ON REFINEMENTS OF HÖLDER'S INEQUALITY II,;;

East Asian mathematical journal, 2016. vol.32. 1, pp.27-33
1.
Time scale Hardy-type inequalities with ‘broken’ exponent p, Journal of Inequalities and Applications, 2015, 2015, 1
2.
ON REFINEMENTS OF HÖLDER'S INEQUALITY II, East Asian mathematical journal, 2016, 32, 1, 27
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