摘要
利用配方法、构造二次三项式、二元二次型的正定性、拉格朗日恒等式、行列式性质、数学归纳法以及算术平均-几何平均不等式等7种方法给出了柯西不等式的7种证法.
Seven proving methods for Cauchy Inequality are introduced in this paper, including： method of completing square, constructing quadratic trinomial, the positive definiteness of binary binomial, Lagrange identical equation, mathematical induction and arithmetic mean-geometric mean inequality.
出处
《洛阳师范学院学报》
2006年第2期8-10,共3页
Journal of Luoyang Normal University
关键词
柯西不等式
拉格朗日恒等式
数学归纳法
算术平均-几何平均不等式
Cauchy inequality
Lagrange identical equation
mathematical induction
arithmetic mean-geometry mean inequality
