摘要
采用高中数学竞赛中最基本的均值不等式和排序不等式,得到两个难度较大的排序不等式,其中定理2可以看作是定理1的推广,并给出一个例子作为定理1的应用。目的在于灵活运用均值不等式和排序不等式,体现出均值不等式和排序不等式在竞赛不等式证明中的基础性作用。
Using the most basic average value inequality and sequencing inequality in high school mathematics contest,two sequencing inequality with great difficulty are obtained,in which theorem 2 can be regarded as the extension of theorem 1,and an example is given as the application of theorem 1.The purpose of this paper is to use average value inequality and sequencing inequality flexibly and shows the basic function of average value inequality and sequencing inequality in the proof of contest inequality.
作者
党国强
Dang Guoqiang(Wuyuan No.1 High School,Bayannur,Inner Mongolia,015000)
出处
《河套学院论坛》
2019年第1期75-77,98,共4页
HETAO COLLEGE FORUM
关键词
均值不等式
排序不等式
轮换不等式
average value inequality
sequencing inequality
rotation inequality
