有关平均差距的三个不等式

Three Inequalities Involving the Difference Between Means

利用方差来估计它们的差距成为一个研究热点.利用最值压缩定理给出了n元算术平均、几何平均和调和平均的差的三个新的上下界估计.

Recently,using variance to estimate their difference has become a hot point topic.By means of compressed independent variables theorem,this paper gives three new upper and lower bounds of the difference involving arithmetic mean,geometric mean and harmonic mean of n positive real numbers.