Best possible global bounds for Jensen’s inequality

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摘要

In this article we found the form of best possible global upper bound for Jensen’s inequality. Thereby, previous results on this topic are essentially improved. We also give some applications in Analysis and Information Theory.

论文关键词:Jensen’s discrete inequality,Global bounds,Lagrange means,Generalized A–G–H inequality

论文评审过程:Available online 13 September 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.08.062