摘要
Cauchy不等式在不等式研究中有着重要的地位和广泛的应用.对幂平均进行了讨论,建立了关于幂平均的一个不等式并给出了证明.作为其应用,得到了Cauchy不等式的一个推广.
Cauchy inequality is very important and widely u sed in inequality studies. Power mean were studied and an inequality for power m ean were given. As an application, a generalization of the Cauchy inequality was obtained.
出处
《浙江师范大学学报（自然科学版）》
CAS
2005年第2期140-143,共4页
Journal of Zhejiang Normal University:Natural Sciences
关键词
幂平均
CAUCHY不等式
应用
power mean
inequality
Cauchy inequality
n ecessary and sufficient condition
