积分型Cauchy中值定理中间点的渐近性研究

Cauchy Mean Value Theorem of Integral Type and Approachability of Betweenness Point

摘要: 本文分别介绍了积分第一中值定理与积分第二中值定理，并就积分型Cauchy中值定理分别讨论了在积分区间长度趋于零和积分区间长度趋于无穷大时中间点的渐近性质，并且取得了一些积分型Cauchy中值定理中间点ξ的渐近性质的重要推广。

Abstract: In this paper, we introduce the First integral mean value theorem and the Second integral mean value theorem, and discuss the approachability of inter mediate point ξ on the Cauchy mean value theorem of integral type when the length of integral tends to zero and infinity, and attain some advanced theorems on the basic of the approachability.