关于曲线凹凸性的讨论

Discussion on the Curve Concavity and Convexity

函数曲线凹凸性定义不同形式,不仅是证明曲线凹凸性判定定理的理论依据,亦是导入凹凸函数性质所必须,借助定义一般及特殊形式,得到凹凸函数的重要性质,解决了有关著名不等式的证明问题.

Different forms of function curve concavity and convexity definition not only prove the theoretical foundation of curve concavity and convexity determination theorem, and also the necessary leading in the concave-convex function nature. With the general and special forms of the definition, the important nature of concave-convex function is obtained, and some famous inequalities are proved.