摘要
1989年《湖南教学通讯》第5期给出了算术—几何—调和平均不等式的逆不等式(见文[3]),本文把这一道不等式作一推广得到定理1,同时给出几何一调和平均不等式的一种推广形式即定理人及其在求极值方面的应用。
A Converse inequality of arithmetic - geomertric - harmonic mean inequality is proposed in the Journal' Hunan Arithmetic Communication' in 1989. This paper deduces a theorem, i. e. Theoreml, from this converse inequality. Moreover, this paper proposes a deduction of geomertric - harmonic mean inequality and its application in extreme value.
出处
《闽江学院学报》
1998年第1期1-5,共5页
Journal of Minjiang University
关键词
算术—几何—调和平均不等式
逆不等式
极值
arithmetic - Geometric - Harmonic mean inequality, converse inequality, exlreme value