Characterizations of Generalized Entropy Functions by Functional Equations

被引：2

作者：

Furuichi, Shigeru ^{[1
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Comp Sci & Syst Anal, Setagaya Ku, Tokyo 1568550, Japan

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2011年 / 2011卷

关键词：

SHANNON-KHINCHIN AXIOMS; S-Q; STATISTICAL-MECHANICS; SYSTEMS; THEOREM;

D O I：

10.1155/2011/126108

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：12

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