广义对数平均,算术平均和几何平均之间的不等式

摘要

给出了算术平均和几何平均组合的最佳广义对数平均上下界.所获结果解决了文献[21]中所提出的两个公开问题.%In this paper, we establish the best lower and upper bounds for combination of the arithmetic and geometric means by the generalized logarithmic mean.These results solve two open problems posed in the paper [21].