摘要
讨论了推广的第一积分中值定理的逆问题及其中值点的渐近性问题.首先应用变上限函数的技巧证明了该逆问题的存在性;然后利用L’Hospital法则和泰勒展开定理给出了中值点的渐近性结果.
In this paper,the inverse problem of the generalized first mean-value theorem for the integral and its approachability of the mean-value have been discussed.First,by means of the technique of the integral function with a variable upper limit,the existences of the inverse problems of the generalized first mean-value theorems for the integrals have been proved.Then,thanks to L'Hospital Rules and Taylor's Theorem,the approachability results of the mean-value points have been given.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第8期19-23,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
江苏省高等教育教学教改研究课题"以提升学生职业能力为核心的师范教育实践教学体系的研究与实施"(2-3)
关键词
积分
中值定理
逆问题
渐近性
integrals
mean-value theorem
inverse problem
approachability
