摘要
首先证明了凸函数的两个积分性质,即凸函数的算术平均值关于积分上限或下限为凸函数.从凸函数的这两个积分性质出发,建立了积分不等式,它是Hermite-Hadamard不等式的加细.
The two integral properties of convex functions are tirst proved, that is, the arithmeticmean of convex functions s convex function with upper or lower Hmit. Based on the t w o integral properties of convex functions, the integral inequalities are established, which refines H e r m i t e - H a d a m a r d inequality.
出处
《广东第二师范学院学报》
2017年第5期23-27,共5页
Journal of Guangdong University of Education