Hadamard定理的几种证法  

Several methods to prove Hadamard theorem

作　　者：钱伟懿[1] 李伟[1] 沈家云[1] QIAN Wei-yi LI Wei SHEN Jia-yun(College of Mathematics and Physics, Bohai University, Jinzhou 121013, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2016年第3期193-197,共5页Journal of Bohai University:Natural Science Edition

基　　金：辽宁省高等教育教学改革基金主要项目(No:2009134);渤海大学教学改革基金项目(No:2009004)

摘　　要：积分不等式的证明是微积分学中较困难问题之一.Hadamard定理是一个著名积分不等式.本文对附加二阶可导条件的Hadamard定理给出九种证明方法,其目的一方面拓展学生的解题思路,另一方面让学生了解一些证明积分不等式的常用方法.The proof of integral inequality is one of the most difficult questions in calculus .Hadamard theo-rem is a famous integral inequality .In this paper , nine proof methods are proposed for Hadamard theorem under second order differentiable condition .Aim of this paper is to expand students＇thinking of solving problems .On the other hand , common methods to prove integral inequality are known by students .

关 键 词：HADAMARD定理 积分不等式 证明方法 

分 类 号：O151.21[理学—数学]