再论Cauchy微分中值定理的逆问题

Further Discuss Inverse Problem of Cauchy's Differential Mid-VaIue Theorem

文[1]给出了"Cauchy微分中值定理"中值点唯一的条件,并得到了其逆定理的较弱表述.继续文[1]的工作,利用闭区间上连续函数的性质及函数的单调性,解决了其逆定理中端点的唯一性.

In the paper [1], the condition of unique mid-value point for ＂ Cauehy＇s differential mid-value theorem ＂ is given, and its the inverse theorem of weak expression is obtained. In this paper, we continue to the work of the paper [1]. By the properties of continuous functions on closed interval and monotonicity of function, we solve the uniqueness of end-point for its the inverse theorem.