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.
Synchronous Functions Lipschitzian functions Jensen's inequality $f$-divergence measure Kullback-Leibler divergence Jeffreys divergence measure
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | September 1, 2019 |
Published in Issue | Year 2019 |