摘要
文[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“Lagrange中值函数”的定义,对Lagrange中值函数的分析性质进行了系统的综合讨论,证明了Lagrange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 studied in paper [2-6]. Based on this, the definition of Lagrange mean value function is given in this paper. Analysing qualities of Lagrange mean value function are discussed.The monotonicity,integrability,continuity,differentiability of analysing qualities of Langrange mean value function have been poroved.
出处
《安庆师范学院学报(自然科学版)》
2006年第2期25-27,共3页
Journal of Anqing Teachers College(Natural Science Edition)
关键词
Lagrange中值函数
单调性
可积性
连续性
可微性
Lagrange mean value function, monotonicity, integrability, continuity, differentiability.