Ostrowski型和Ostrowski-Grüss型不等式的加强  

Strengthening of Ostrowski Type and Ostrowski-Grüss Type Inequalities

作　　者：时统业[1] 曾志红 SHI Tongye;ZENG Zhihong(PLA Naval Command College,Nanjing 211800,China;Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,China)

机构地区：[1]海军指挥学院,江苏南京211800 [2]广东第二师范学院学报编辑部,广东广州510303

出　　处：《湖南理工学院学报（自然科学版）》2022年第4期1-8,共8页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：利用涉及一阶导数或二阶导数的montgomery型积分恒等式和引入参数求最值的方法,分别在一阶导函数有界、函数满足Lipschitz条件、二阶导数有界、一阶导函数满足Lipschitz条件的情况下,建立带有参数的不等式,在特殊情况下得到Ostrowski型不等式和Ostrowski-Grüss型不等式的加强.By using the montgomery type integral identities involving the first or second derivatives and the method of introducing parameter to find the minimum,the inequalities with parameter were established in the case of the first derivatives being bounded,functions satisfying Lipschitz condition,the second derivatives being bounded and the first derivatives satisfying Lipschitz condition,respectively.In special cases,the strengthening of Ostrowski type inequality and Ostrowski-Grüss type inequality were obtained.

关 键 词：Ostrowski型不等式 Ostrowski-Grüss型不等式 一阶导数 二阶导数 LIPSCHITZ条件 montgomery型恒等式 

分 类 号：O178[理学—数学]