Schwarz不等式的几何意义及其一个重要应用

Geometric Significance of Schwartz Inequality and an Application

在这篇文章里,我们给出了Schwarz不等式和三角不等式之间的关系,从而揭示了Schwarz不等式的几何意义,应用以上结果,我们改进了曲线弧长公式的证明。

In this paper we give the relationship between Schwarz inequality and the triangle inequality ,then we reveal the geometric significance of Schwartz inequality. Applying the above result, we improve the proof of the formula on arc lengths of curves.