Characterizations of Generalized Entropy Functions by Functional Equations

Shigeru Furuichi

Advances in Mathematical Physics, 2011, vol. 2011, issue 1

Abstract: 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2011:y:2011:i:1:n:126108

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