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On a global upper bound for Jensen's inequality
Authors:Slavko Simic
Affiliation:Mathematical Institute SANU, Kneza Mihaila 35, 11000 Belgrade, Serbia
Abstract:In this paper we shall give a global upper bound for Jensen's inequality without restrictions on the target convex function f. We also introduce a characteristic c(f) i.e. an absolute constant depending only on f, by which the global bound is improved.
Keywords:Jensen's inequality   Global bounds   Characteristic of a convex function
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