大学数学视角下证明不等式:以两个不等式猜想为例  

Proving Inequalities from the Perspective of Advanced Mathematics:A Case Study of Two Inequality Conjectures

作　　者：李时敏 黄辉 刘玉记 黄水仁 LI Shimin;HUANG Hui;LIU Yuji;HUANG Shuiren(School of Mathematics and Statistics,Guangdong University of Finance&Economics,Guangzhou Guangdong 510320)

机构地区：[1]广东财经大学统计与数学学院,广东广州510320

出　　处：《兴义民族师范学院学报》2021年第5期98-104,共7页Journal of Minzu Normal University of Xingyi

基　　金：2018年广东省本科高校教学质量与教学改革工程建设项目“数学与统计专业分析类课程教学团队”项目资助。

摘　　要：借助大学数学中的基本方法,通过作辅助函数,解决了汪长银老师提出的两个初等不等式猜想。从而可以避免应用初等数学方法证明不等式存在技巧性强、方法适应面窄的缺陷。With the help of the basic methods in advanced mathematics, two elementary inequality conjectures proposed by Mr.Wang Changyin are solved by making auxiliary functions. Thus, it can avoid the defects of strong skillfulness and narrow adaptation in the application of elementary mathematical methods.

关 键 词：辅助函数 不等式 猜想 

分 类 号：O172.1[理学—数学]