Some $f$-Divergence Measures Related to Jensen's One

Yıl 2023, Cilt: 6 Sayı: 4, 140 - 154, 18.12.2023

Sever Dragomır

https://doi.org/10.32323/ujma.1362709

Öz

In this paper, we introduce some $f$-divergence measures that are related to the Jensen's divergence introduced by Burbea and Rao in 1982. We establish their joint convexity and provide some inequalities between these measures and a combination of Csisz\'{a}r's $f$-divergence, $f$-midpoint divergence and $f$-integral divergence measures.

Anahtar Kelimeler

$f$-divergence measures, $\chi ^{2}$-divergence, HH $f$-divergence measures, Jensen divergence

Kaynakça

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