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).

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
URI https://vuir.vu.edu.au/id/eprint/17960
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Hermite-Hadamard's inequality, norms, means
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