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A Variant of Jessen's Inequality and Generalized Means
Isotonic linear functionals Jessen's inequality Generalized means
2008/7/3
In this paper we give a variant of Jessen's inequality for isotonic linear functionals. Our results generalize some recent results of Gavrea. We also give comparison theorems for generalized means.
Means and Generalized Means
Gini means Power means Generalized means Complementary means Double sequences
2008/6/30
In this paper, the Gaussian product of generalized means (or reflexive functions) is considered and an invariance principle for generalized means is proved.
Some Inequalities for a Class of Generalized Means
Symmetric function Ky Fan inequality Harmonic-geometric mean inequality
2008/6/27
In this paper, we define a symmetric function, show its properties, and establish several analytic inequalities, some of which are "Ky Fan" type inequalities. The harmonic-geometric mean inequality is...