凹凸函数的两个定义的等价性证明及应用

摘要

The concavity and convexity of function has extensive application in the research of inequality, and the proof of inequality is an important part of inequality content.In this paper, we give the equivalence proof of two definitions of concave and convex function, then elaborate the application of concavity and convexity of function in inequality proof, and provide a technique for proving inequality.%函数的凹凸性在研究不等式方面有着广泛的应用,不等式的证明是不等式内容的重要部分.给出凹凸函数的两个定义的等价性证明,列举函数的凹凸性在不等式证明中的应用,提供了一种不等式证明的技巧.