Cauchy中值定理'中间点函数'的一个注记

摘要

讨论Cauchy中值定理"中间点函数"的可微性与渐近性, 并给出例子说明本文结果的有效性与广泛性, 从而改进和推广了 Duca 和 Pop (On the intermediate point in Cauchy's mean-value theorem, Math Inequal Appl, 2006(3): 375-389)中的相应结果.%This paper deals with the differentiable behavior and asymptotic behavior of the intermediate point function in Cauchy mean value theorem and gives an example to illustrate the validity and universality of the result presented in it, which essentially improves and extends the corresponding results obtained by Duca and Pop (On the intermediate point in Cauchy's mean-value theorem, Math.Inequal.Appl.2006(3): 375-389).