幂函数x~α(α>2)在一类区间上微分中值公式中值点的位置

On the Position of the Mean Point in the Theorem of the Mean Applied to the Powe r Function x~α(α>2)

就幂函数xα(α>2)在一类特定区间上的拉格朗日微分中值公式中的中值点的位置进行了估计,得出的结论是:对幂函数xα(α>2)将拉格朗日微分中值定理应用于任意闭区间犤a,b犦(0<a<b)时,相应的中值公式中的中值点号总位于区间中点的右侧。

The position of the mean point in Lagrange＇s Theorem of the Mean for the power function x^α where α〉2, is estimated for a particular kind of intervals. What we obtain is that when the famous theorem is applied to the function x^α（α〉2） on any niterval of the kind[ α, b] （0〈α〈b）, the correspondent mean point always lies in the right half of the interval.