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

Sever Dragomır

doi:10.32323/ujma.1362709

EN

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

Abstract

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.

Keywords

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

References

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Details

Primary Language

English

Subjects

Mathematical Optimisation, Numerical and Computational Mathematics (Other)

Journal Section

Research Article

Authors

Sever Dragomır ^*
0000-0003-2902-6805
Australia

Early Pub Date

November 22, 2023

Publication Date

December 18, 2023

Submission Date

September 19, 2023

Acceptance Date

November 19, 2023

Published in Issue

Year 2023 Volume: 6 Number: 4

DOI

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

IZ

https://izlik.org/JA59CS36SN

APA

Dragomır, S. (2023). Some $f$-Divergence Measures Related to Jensen’s One. Universal Journal of Mathematics and Applications, 6(4), 140-154. https://doi.org/10.32323/ujma.1362709

AMA

1.Dragomır S. Some $f$-Divergence Measures Related to Jensen’s One. Univ. J. Math. Appl. 2023;6(4):140-154. doi:10.32323/ujma.1362709

Chicago

Dragomır, Sever. 2023. “Some $f$-Divergence Measures Related to Jensen’s One”. Universal Journal of Mathematics and Applications 6 (4): 140-54. https://doi.org/10.32323/ujma.1362709.

EndNote

Dragomır S (December 1, 2023) Some $f$-Divergence Measures Related to Jensen’s One. Universal Journal of Mathematics and Applications 6 4 140–154.

IEEE

[1]S. Dragomır, “Some $f$-Divergence Measures Related to Jensen’s One”, Univ. J. Math. Appl., vol. 6, no. 4, pp. 140–154, Dec. 2023, doi: 10.32323/ujma.1362709.

ISNAD

Dragomır, Sever. “Some $f$-Divergence Measures Related to Jensen’s One”. Universal Journal of Mathematics and Applications 6/4 (December 1, 2023): 140-154. https://doi.org/10.32323/ujma.1362709.

JAMA

1.Dragomır S. Some $f$-Divergence Measures Related to Jensen’s One. Univ. J. Math. Appl. 2023;6:140–154.

MLA

Dragomır, Sever. “Some $f$-Divergence Measures Related to Jensen’s One”. Universal Journal of Mathematics and Applications, vol. 6, no. 4, Dec. 2023, pp. 140-54, doi:10.32323/ujma.1362709.

Vancouver

1.Sever Dragomır. Some $f$-Divergence Measures Related to Jensen’s One. Univ. J. Math. Appl. 2023 Dec. 1;6(4):140-54. doi:10.32323/ujma.1362709