关于积分中值定理中“中间点”的进一步估计

ThE APPROACHING STATE OF MEAN POINTS FOR THE FIRST INTEGRAL MEAN VALUE THEOREM

本文讨论了当f(t)∈C^l[a,b],f^(i)(a)=O(i=1,2……,n-1),f^(n)(a)存在,f(n)(a)g(a)≠0,g(t)∈C[a,b]且在a,b上保持同一符号时,第一积分中值定理中的中间点的渐近状态。

In this paper, the approaching state of mean points for the first integral mean the- orem is diseussed when f(t)∈C^(n-l)[a,b], f^(n)g(a)≠0 and g(t)∈C[a,b] keepe Same sign on[a,b].