Characterizations of generalized entropy functions by functional equations
Information Theory
2010-05-20 v2 math.IT
Abstract
We shall show that a two-parameter extended entropy function is characterized by a functional equation. As a corollary of this result, we obtain that the Tsallis entropy function is characterized by a functional equation, which is a different form used in \cite{ST} i.e., in Proposition \ref{prop01} in the present paper. We also give an interpretation of the functional equation giving the Tsallis entropy function, in the relation with two non-additive properties.
Cite
@article{arxiv.1001.2190,
title = {Characterizations of generalized entropy functions by functional equations},
author = {Shigeru Furuichi},
journal= {arXiv preprint arXiv:1001.2190},
year = {2010}
}