广义积分型Cauchy中值定理“中间点”的渐近性

Asymptotic Behavior of the“Intermediate Point”of the Generalized Integral Cauchy Mean Value Theorem

研究了当区间长度趋于零时,Cauchy中值定理中间点的渐近性,得到了广义积分型Cauchy中值定理"中间点"渐近性的两个表达式,并对已有的渐近性结果进行了推广.

The asymptotic behavior of the intermediate point of the Cauchy mean value theorem is studied when the interval length approaches zero.Two expressions for the asymptotic behavior of the“intermediate point”of the generalized integral Cauchy median theorem are obtained,and the existing asymptotic results are generalized.