Paper Title:

The Best Upper Bound for Jensen's Inequality

Author(s):

Vasile Cirtoaje

Department of Automatic Control and Computers
University of Ploiesti
Romania.

vcirtoaje@upg-ploiesti.ro.

Abstract:

In this paper we give the best upper bound for the weighted Jensen's discrete inequality applied to a convex function f defined on a closed interval I in the case when the bound depends on f, I and weights. In addition, we give a simpler expression of the upper bound, which is better than existing similar one.

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