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Superadditivity and Monotonicity of Some Functionals Associated with the Hermite-Hadamard Inequality for Convex Functions in Linear Spaces

Dragomir, Sever S (2009) Superadditivity and Monotonicity of Some Functionals Associated with the Hermite-Hadamard Inequality for Convex Functions in Linear Spaces. Research report collection, 12 (Supp).

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Abstract

The superadditivity and monotonicity properties of some func- tionals associated with convex functions and the Hermite-Hadamard inequality in the general setting of linear spaces are investigated. Applications for norms and convex functions of a real variable are given. Some inequalities for arithmetic, geometric, harmonic, logarithmic and identric means are improved.

Item Type: Article
Uncontrolled Keywords: convex functions, Hermite-Hadamard's inequality, norms, means
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 20:57
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17960
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