摘要
文献[2～6]对微分中值定理“中间点”的渐近性质进行了研究,本文在此基础上,给出了“Cauchy中值函数”的定义,对Cauchy中值函数的分析性质进行了系统的综合讨论,证明了Cauchy中值函数的单调性、可积性、连续性、可微性等分析性质.
The asymptotic characteristic of 'intermediate point' for differential mean value theorem is researched in references [2-6]. Based on this, the definition of Cauchy mean value function is given in this paper. Analysing qualities of Cauchy mean value function are discussed. Analysing qualities of Cauchy mean value function's monotonicity, integrability, continuity, differentiability are proved.
出处
《哈尔滨师范大学自然科学学报》
CAS
2002年第6期5-10,共6页
Natural Science Journal of Harbin Normal University
