Some Properties of Weighted Tsallis and Kaniadakis Divergences

Abstract

We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those that limit Kullback–Leibler divergence and show that are pseudo-additive.

Keywords

• Tsallis logarithm
• Kaniadakis logarithm
• weighted Tsallis divergence
• weighted Kaniadakis divergence