摘要
旨在对算术平均—几何平均不等式和阿达马—埃尔米特不等式在数学、美学及其应用的意义上作一些评述,并对前者给出3个各具特色的证明,对后者给出1个直观的几何证明.
The object of this paper is to make comments on the application of AM（ arithmetic mean）-GM（ Geometric mean） inequalities and Hadamard-Hermite inequalities from the aspects of mathematics,aesthetics and their application significance. Then three distinctive proofs and an intuitive proof are presented for the former and latter inequalities,respectively.
出处
《成都大学学报（自然科学版）》
2015年第4期354-356,370,共4页
Journal of Chengdu University（Natural Science Edition）
关键词
不等式
评议
算术平均
几何平均
证明方法
Inequality
comment
arithmetic mean
geometric mean
method of proof
