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arXiv · 2011.10746

Some Generalizations of Jensen's Inequality

Slavko Simic
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Abstract

In this article we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of the target function is not assumed in advance. They represents a refinement of these inequalities in the case of convex/concave functions with numerous applications in Theory of Means and Probability and Statistics.

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Slavko Simic. 2020-11-21. Some Generalizations of Jensen's Inequality. https://arxiv.org/abs/2011.10746

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