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Characterizations of Generalized Entropy Functions by Functional Equations

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  • Shigeru Furuichi

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.

Suggested Citation

  • Shigeru Furuichi, 2011. "Characterizations of Generalized Entropy Functions by Functional Equations," Advances in Mathematical Physics, Hindawi, vol. 2011, pages 1-12, July.
    • Handle: RePEc:hin:jnlamp:126108
    DOI: 10.1155/2011/126108
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