n个正数的算术平均值与几何平均值的比较。
第二部分将通常的积分平均值不等式推广成一般形式，并利用它给出一些不等式的证明。
The part two general forms was derived with general integral average inequality and Some inequality was proved with this result was obtained above.
利用平均值不等式，得到高次齐次函数的若干条件不等式，推广了低次齐次函数的相关结果。
In this paper, we through the example introduce some applications of the mean value inequality in mathematical analysis.
本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。
In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.
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