微分中值定理的逆问题  

On the Inverse Problem of Differential Mean Value Theorem

作　　者：胡洪萍[1] 于鸿丽[1] 

机构地区：[1]西安联合大学数学系,陕西西安710065

出　　处：《西安联合大学学报》2003年第2期45-47,共3页

摘　　要：研究了Lagrange定理和Taylor定理的逆问题 ,证明了在一定的条件下 ,Lagrange定理和Taylor定理的逆定理成立 。The inverse problems of Differential Mean Value Theorem were studied, including Lagrange theorem and Taylor Theorem. The Inverse Theorems of Lagrange Theorem and Taylor Theorem were proved to be valid under some conditions. The theoretical bases were given for the application of Differential Mean Value Theorem.

关 键 词：微分中值定理 逆问题 LAGRANGE定理 TAYLOR定理 严格单调 介值定理 逆定理 

分 类 号：O172.1[理学—数学]