Constructing auxiliary functions is the key in using differential mean value theorem to solve problems; there are many methods for constructing auxiliary functions.
构造辅助函数是利用微分中值定理解决问题的关键，构造辅助函数的方法较多。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
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