参数信息基本方程稳定性的新结果
Recent results on the stability of the parametric fundamental equation of information
摘要：
本文的目的是总结关于参数信息基本方程稳定性的最新结果。此外，借助于我们在\cite{GM08}中使用的一种方法的修改，我们将给出所讨论方程的Hyers-Ulam稳定性的统一证明，假定参数不等于1。作为主要结果的推论，还讨论了一个定义递归半对称信息测度的方程组。
英文摘要：
The purpose of this paper is to summarize the recent results on the stability of the parametric fundamental equation of information. Furthermore, by the help of a modification of a method we used in \cite{GM08} we shall give a unified proof for the Hyers--Ulam stability of the equation in question, assuming that the parameter does not equal to 1. As a corollary of the main result, a system of equations, that defines the recursive and semi--symmetric information measures is also discussed.
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