几类新型中值定理中值点的渐近性

Asymptotic behavior of mean value points for several new classes of mean value theorems

研究几类新型中值定理中值点的渐近性,利用比较函数和引理,在一定条件下,建立了几类新型中值定理中值点更广泛的渐近估计式,所得结果推广和改进了有关文献中的相应结果。

This paper studies the asymptotic properties of the mean value points of several new types of mean value theorems.By using the comparison function and lemma,a wider range of asymptotic estimators of the mean value points of several new types of mean value theorems are established under certain conditions.The results obtained extend and improve the corresponding results in related literature.