Comparison of the normalized Jensen functionals of two convex functions with applications
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摘要
In this paper, we compare normalized Jensen functionals of two given convex functions defined on an interval of the real line. As applications, we give some valuable upper and lower bounds for the AGM inequality, which lead to some comparison results regarding Kullback–Leibler divergence and Shannon’s entropy. Some applications in inner product spaces are also included.
论文关键词：Convex function,Jensen’s inequality,Kullback–Leibler divergence,Shannon’s entropy,Inner product space
论文评审过程：Available online 28 June 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.05.131
