摘要
利用与二阶导数有关的积分恒等式和引入参数求最值的方法,在二阶导函数的绝对值为凸函数的情况下,给出梯形不等式、中点不等式和Bullen型不等式的加强.
Trapezoid inequality,midpoint inequality and Bullen type inequality for functions whose twice derivatives absolute values are convex are obtained by using integral identities involving twice derivatives and the method of introducing parameter to find the minimum,which strengthens the existing trapezoid inequality,midpoint inequality and Bullen type inequality.
作者
时统业
SHI Tong-ye(Naval Command College,Nanjing 211800,China)
出处
《嘉应学院学报》
2020年第6期6-12,共7页
Journal of Jiaying University
关键词
梯形不等式
中点不等式
Bullen型不等式
二阶可微函数
凸函数
双边不等式
trapezoid inequality
midpoint inequality
Bullen type inequality
twice differentiable function convex function
bilateral inequality
