带有广义Beta函数的积分型高阶Cauchy中值定理

The High-order Cauchy’s Integral Type Mean Value Theorem for Generalized Beta Functions

对一类带有广义Beta函数的积分型高阶Cauchy中值定理做了研究,给出了这类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.

A type of high-order Cauchy’s integral type mean value theorem for generalized Beta functions is studied,the Cauchy’s mean value theorem is generalized,and a general conclusion for the theorem is obtained.Also the asymptotic property of"midpoint"for the theorem is discussed,a general conclusion is obtained,and some results are generalized.