Abstract
We introduce the notion of barycenter for a class of non-necessarily positive Radon measures and prove on this basis several inequalities which extend classical results such as Steffensen’s inequality, Fink’s version of the Hermite-Hadamard inequality, Fuchs ’extension of the majorization inequality of Hardy-Littlewood-Polýa etc. Mathematics subject classification (2000): 26D15, 46A55, 26A51, 26B55.
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