Characterizations of generalized entropy functions by functional equations

Shigeru Furuichi

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arXiv · 1001.2190

Characterizations of generalized entropy functions by functional equations

Shigeru Furuichi

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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.

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Shigeru Furuichi. 2010-05-19. Characterizations of generalized entropy functions by functional equations. https://arxiv.org/abs/1001.2190

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