高阶微分中值定理初探  

A Note on High Order Differential Mean Value Theorem

作　　者：楼红卫[1] LOU Hongwei(School of Mathematical Sciences,Fudan University,Shanghai 200433,China)

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《高等数学研究》2018年第4期1-6,共6页Studies in College Mathematics

摘　　要：本文对高阶中值定理进行了初步的探讨,提供了标准的高阶中值定理的解决方法,也对如何处理一些非标准情形提供了一些思路.从这些探讨来看,高阶中值定理尚有许多值得进一步探索之处.This paper is a preliminary report on the high order differential mean value theorem.Methods for proving mean value theorems of standard cases are given.It is also considered for how to deal with nonstandard situations.One may see many worthies of further exploration on this topic.

关 键 词：高阶中值定理 行列式 

分 类 号：O172.1[理学—数学]