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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, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlamp:v:2011:y:2011:i:1:n:126108
    DOI: 10.1155/2011/126108
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    References listed on IDEAS

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    1. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
    2. Zander, C. & Plastino, A.R., 2006. "Composite systems with extensive Sq (power-law) entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 145-156.
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