对数不等式及其应用  

Logarithmic Inequality and It’s Application

作　　者：王德荣[1] 黄永忠[1] 邱小霞[1] WANG De-rong;HUANG Yong-zhong;QIU Xiao-xia(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学数学与统计学院

出　　处：《大学数学》2019年第4期58-63,共6页College Mathematics

基　　金：华中科技大学教学研究专项项目(2018021)

摘　　要：从简明的不等式出发,利用定积分的比较性质得到几个对数不等式.这些不等式是基本和重要的,在值的估计、数学竞赛以及难题求解中常成为解决问题的关键.给出多个不常见的例子以展现对数不等式的应用.From some simple inequalities,several logarithmic inequalities are obtained by the comparative property of definite integral.These inequalities are basic and important and crucial in the value estimates,mathematics competition problems,and solutions to difficult problems.Further,a lot of examples are given to illustrate application of logarithmic inequality.

关 键 词：对数不等式 定积分 竞赛试题 

分 类 号：O177.5[理学—数学]