柯西不等式的证明及应用研究

Study on Proof and Application of Cauchy Inequality

文中给出柯西不等式的3种证明方法,即利用行列式方法证、利用欧氏空间中内积性质证和利用初等方法证.并举例说明柯西不等式在不等式证明中应用的广泛性和灵活性.

The three proof methods are given: determinant method, inner product elementary method of Euclid space and elementary method. The application widespread and flexibility of Cauchy inequality are show by the examples.