积分第一中值定理中间点集稳定性的注记

A Note on the Stability of Intermediate Value Point Set of the First Mean Value Theorem for Integrals

引入积分第一中值定理本质中间点的概念讨论中间点集的稳定性问题:证明了[a,b]上大多数连续函数(在Baire分类意义下)的中间值点集是稳定的;得到[a,b]上连续函数的中间点集是本质连通区的一个充分条件.

The concept of essential intermediate value point is introduced,and the stability of the intermediate value point set is discussed.It proves that the intermediate value point set of most continuous function on（in the Baire category sense） is stable;and a sufficient conditions for the existence of one essential component in the intermediate value point set of continuous function on is obtained.