Journal of Inequalities and Applications (Jan 2010)
More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity
Abstract
New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.