Characterizations of Generalized Entropy Functions by Functional Equations

الملخص EN

We will show that a two-parameter extended entropy function is characterized by a functional equation.

As a corollary of this result, we obtain that Tsallis entropy function is characterized by a functional equation, which is a different form that used by Suyari and Tsukada, 2009, that is, in a proposition 2.1 in the present paper.

We give an interpretation of the functional equation in our main theorem.