论文标题
三参数对数和熵
Three-Parameter Logarithm and Entropy
论文作者
论文摘要
使用Q-Analogue和Ansatz技术的概念得出了三参数对数函数。派生的三参数对数被证明是Schwammle和Tsallis的两参数对数函数的概括，因为后者是前者的限制函数，因为添加的参数为1。三参数对数的倒数和其他重要属性的倒数也已被证明。然后，定义了三参数熵函数，并显示为分析性，因此在参数的某些范围内进行了Lesche稳定，凹和凸。
A three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the two-parameter logarithmic function of Schwammle and Tsallis as the latter is the limiting function of the former as the added parameter goes to 1. The inverse of the three-parameter logarithm and other important properties are also proved. A three-parameter entropic function is then defined and is shown to be analytic and hence Lesche-stable, concave and convex in some ranges of the parameters.
