广义积分型Cauchy中值定理中间点的渐近性

The Asymptotic Property of the Midpoint for the Cauchy's Mean Value Theorem of Improper Integral Form

利用辅助函数,推广了Cauchy中值定理,得到了定理的一个广义积分形式,对该定理中中间点ξ的渐近性进行了讨论,得到了一个具有一般性的结果.

By using auxiliary function and generalized the Cauchy’s mean value theorem,we obtain an improper integral form the theorem. Then we discuss the asymptotic property of the middle point ξ and obtain a general result.