凸函数的性质及其在不等式证明中的应用

Nature of Convex Function and its Application in Demonstration of Inequalities

本文通过对凸函数的定义、性质的描述,主要研究其在不等式证明中的应用,举例说明解题思路与证明方法,并且证明了几个常见的重要不等式。

Based on the description of definition of nature of convex function, this paper mainly analyses its application in demonstration of inequalities, offers some examples to illustrate the train of thought of solving the problems and methods of demonstration, at the same time demonstrates several common important inequalities.