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arXiv 1307.0650math.CA
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熵函数与函数方程

Entropy functions and functional equations

Eszter Gselmann

摘要:

本文给出了与Shannon熵和Tsallis熵有关的两个函数方程的通解。作为结果,我们也给出了这些方程的正则解。此外,我们指出,在以前的作品中使用的规律性假设可以大大削弱。

英文摘要:

The purpose of this note is to give the general solution of two functional equations connected to the Shannon entropy and also to the Tsallis entropy. As a result of this, we present the regular solution of these equations, as well. Furthermore, we point out that the regularity assumptions used in previous works can substantially be weakened.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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