Inequalities for Synchronous Functions and Applications

Authors : Silvestru Sever Dragomir

Pages : 109-123

Doi:10.33205/cma.562166

View : 17 | Download : 11

Publication Date : 2019-09-01

Article Type : Research

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