用二元均值不等式的变形式给出两个分式不等式的推广及证明。
Two proofs based on two lemmas for average inequality was discussed in this paper.
本文研究了均值不等式在简化初等不等式证明及定积分等方面的一些应用。
Here some applications of average value inequality on the proof of inequality and integral are presented.
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.
证明了有关函数平均值的一个估值不等式，应用它推出了若干重要的不等式。
An inequality of estimate for function means is proved, and by using it some classical inequalities are proposed.
证明了有关函数平均值的一个估值不等式，应用它推出了若干重要的不等式。
An inequality of estimate for function means is proved, and by using it some classical inequalities are proposed.
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