论文标题
两个凸功能的对数平均值
The logarithmic mean of two convex functionals
论文作者
论文摘要
本文的目的是引入两个凸功能的对数平均值,该凸功能扩展了两个正算子的对数平均值。还讨论了涉及这种功能平均值的一些不平等。此处获得的功能理论结果的运算符版本立即推导,而无需参考操作者均值。
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well. The operator versions of the functional theoretical results obtained here are immediately deduced without referring to the theory of operator means.