请高手将这段文字翻译成英语！！不能有错误，这是我毕业论文。感激不尽。 十万个为什么问题解答 关键词：微积分、不等式、不等式的证明. [gap=1381]Keywords: calculus, inequalities, inequality.
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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.
文章给出了几种常用方法，通过这些方法，可以较为简洁，方便地解决一些不等式的证明。
This paper gives out a few methods to prove inequation and by which we can simply and quickly solve the problem.
凸(凹)函数有很多特性，这些性质可广泛应用于不等式的证明及误差估计等方面。
There are convex function and concave function, Which are of expansive application in many aspects, especially in inequality proof and error estimate.
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