文章利用其中间点的居中性及严格单调函数必存在反函数的性质，探讨了几种两相异正数平均的导出。
In this paper, of which the middle between the points and there exists strictly monotonic function of the inverse function of the nature of some average of two different positive export.
同时在激励函数单调递增的条件减弱的情况下，给出了两条渐近稳定的定理，并给了严格的数学证明。
With the condition of inspirit functions increasing by degrees weakening, two new global asymptotic stable theorems and strict mathematic proof were given.
引进一类严格单调增函数，不对此函数取对数，提出一种新的增长指标。
A new growth index is put forward with the introduction to a strictly monotone increasing function other than the logarithm to this function.
本文在严格单调的前提下 ，讨论了积分中值函数的严格单调性、连续性和可微性 ，得到了具有一般性的结论。
In this paper, under the condition of strictly monotone, discusses strictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数。
On the effect boundary, risk is return's rigid monotony increase by degrees convex function , return is risk's rigid monotony increase by degrees concave function.
在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数。
On the effect boundary, risk is return's rigid monotony increase by degrees convex function , return is risk's rigid monotony increase by degrees concave function.
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