Lipschitz条件下的加权梯形不等式和中点不等式  

Weighted Trapezoid Inequality and Midpoint Inequality Under Lipschitz Condition

作　　者：时统业[1] 董芳芳[1] SHI Tongye;DONG Fangfang(PLA Naval Command College, Nanjing 211800, China)

机构地区：[1]海军指挥学院,江苏南京211800

出　　处：《高等数学研究》2022年第1期64-68,共5页Studies in College Mathematics

摘　　要：利用与一阶导数有关的积分恒等式,并通过引入参数求最值,在一阶导函数满足Lipschitz条件的情况下,给出加权梯形不等式和中点不等式.Weighted trapezoid inequality and midpoint inequality for functions whose first derivatives satisfy Lipschitz condition are obtained by using integral identities involving first derivatives and the method of parameters for the minimum.

关 键 词：梯形不等式 中点不等式 LIPSCHITZ条件 可微函数 权函数 双边不等式 

分 类 号：O178[理学—数学]