带有Beta型积分的Cauchy中值定理及其中间点的渐进性

The asymptotic property of the “Midpoint” for the Cauchy’s mean value theorem with Beta integral forms

对一类带有Beta型积分的Cauchy中值定理做了研究,给出了此类Cauchy中值定理的一般形式,得到了一个一般性的结论,并对该定理“中间点”的渐进性做了讨论,推广了已有的成果。

Studied a type of Cauchy mean value theorems with Beta integral forms,generalized the Cauchy’s mean value theorem,obtained a general conclusion for the theorem.And discussed the asymptotic property of “midpoint”ξ for the theorem,obtained a general conclusion,generalized some results.