定积分的一个不等式及其应用  

A inequality of the definite integral and its application

作　　者：陈欢[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2003年第6期649-651,共3页Journal of Fuzhou University(Natural Science Edition)

摘　　要：线性是定积分最重要的性质之一,在此基础上定性地分析了形如gfn的函数的定积分的随着n的变化趋势,得到一个定理,并利用这个定理重新证明了H lder不等式.Linear is one of the most important properties of the definite integral, basing on this property, we qualitatively analyzed the trend of the definite integral of functions in the form of gfn when n changes. And then another important theorem about the definite integral was proposed. We proved Hlder inequality again using this theorem.

关 键 词：定积分 线性 HOELDER不等式 

分 类 号：O172.2[理学—数学]