Characterizations of generalized entropy functions by functional equations

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.

References in corpus (2)

• On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
• An axiomatic characterization of a two-parameter extended relative entropy

Cited by in corpus (1)

• Entropy functions and functional equations