α凸函数

On α Convex Function

首先定义了一类新的凸函数:α凸函数,它是通常的中点凸函数的一般形式,并推出了α凸函数的一系列不等式,它们是凸函数中某些相应的著名不等式的推广。

Firstly, a new type of convex function is defined in a new way as α convex function,which is a general form of convex function. Moreover, it can draw a conclusion on a series of inequalities. These are generalization of some concerned inequalities among convex functions.