Inequalities for Synchronous Functions and Applications

Year 2019, Volume: 2 Issue: 3, 109 - 123, 01.09.2019

Silvestru Sever Dragomir

https://doi.org/10.33205/cma.562166

Cited By: 3

Abstract

Some inequalities for synchronous functions that are a mixture between Cebyšev’s and Jensen's inequality are provided. Applications for $f$ -divergence measure and some particular instances including Kullback-Leibler divergence, Jeffreys divergence and $\chi ^{2}$-divergence are also given.

Keywords

Synchronous Functions, Lipschitzian functions, Jensen's inequality, $f$-divergence measure, Kullback-Leibler divergence, Jeffreys divergence measure

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