关于Cauchy-Schwarz不等式的几点讨论

On Inequality of Cauchy-Schwarz

摘要: 文章在充分认识柯西–施瓦兹不等式的由来和五种不同领域的表现形式基础之上，通过多个解题方法探讨了一道数学竞赛题，并给出不等式进一步拓展的结论及其证明，同时指出该拓展本质上与Hölder不等式的关系，对于学习高等数学以及参赛具有重要借鉴意义。

Abstract: On the basis of fully understanding the origin and five different forms of Cauchy-Schwarz inequality, this article discusses a mathematical competition problem through several problem-solving methods, and provide a conclusion and proof for further expanding the inequality, and points out its relation with Hölder inequality, which has important reference significance for learning higher mathematics and participating in the competition.