众所周知：有限数列的几何平均数不大于它的算术平均数．在本文中，我们将推广这个事实，然后给出我们的结果的一些应用．我们假设所讨论的函数是单调的，这些单调函数的反函数在相关的点上有意义．找fi］还假设，我们所讨论的数列（包括经过变换的数列）的每一项都是正的．定 It is well known that the geometric mean of a finite series is not greater than its arithmetic mean. In this article, we will promote this fact and then give some applications of our results. We assume that the functions in question are monotonic and that the inverse functions of these monotonic functions are relevant at the relevant points. Finding fi] also assumes that each item of the series we discuss (including the transformed array) is positive. set