A characterization of the relative entropies

Abstract

In this note we give a characterization of a family of relative entropies on open domain depending on a real parameter $\alpha$ based on recursivity and symmetry. In the cases $\alpha =1$ and $\alpha =0$ we use additionally a weak regularity assumption while in the other cases no regularity assumptions are made at all.

8 pages, published in Annales Univ. Sci. Budapest., Sect. Comp in 2011

References in corpus (2)

• Fundamental properties of Tsallis relative entropy
• On uniqueness theorems for Tsallis entropy and Tsallis relative entropy