| Issue |
ITM Web Conf.
Volume 29, 2019
1st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 7 | |
| Section | Applied/Computational Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20192901004 | |
| Published online | 15 October 2019 | |
On the symmetrized S-divergence
Mathematical Institute SANU,
Kneza Mihaila 36,
Belgrade,
11000,
Serbia
* e-mail: ssimic@turing.mi.sanu.ac.rs
In this paper we worked with the relative divergence of type s, s ∈ ℝ, which include Kullback-Leibler divergence and the Hellinger and χ2 distances as particular cases. We give here a study of the sym- metrized divergences in additive and multiplicative forms. Some ba-sic properties as symmetry, monotonicity and log-convexity are estab-lished. An important result from the Convexity Theory is also proved.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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