一个Ostrowski-Grüss型不等式的加强和推广  

The Strengthening and Generalization of an Ostrowski-Grüss Type Inequality

作　　者：曾志红 时统业[2] 张然然[3] ZENG Zhi-hong;SHI Tong-ye;ZHANG Ran-ran(Editorial Department of Journal of Guangdong University of Education,Guangzhou,Guangdong,510303;PLA Naval Command College,Nanjing,Jiangsu,211800;College of Mathematics,Guangdong University of Education,Guangzhou,Guangdong,510303)

机构地区：[1]广东第二师范学院学报编辑部,广东广州510303 [2]海军指挥学院,江苏南京211800 [3]广东第二师范学院数学学院,广东广州510303

出　　处：《韩山师范学院学报》2021年第6期1-10,42,共11页Journal of Hanshan Normal University

基　　金：广东省普通高校特色创新类项目(项目编号:2019KTSCX119)。

摘　　要：用引入参数求最值的方法,分别在导函数有界和函数满足Lipschitz条件两种情况下,给出一个Ostrowski-Grüss型不等式的加强.分别在二阶导函数有界和一阶导函数满足Lipschitz条件两种情况下,建立了新的Ostrowski型不等式.Using the method of introducing parameters to find the minumum values,the strengthening of an Ostrowski-Grüss type inequality is established in the case of the derivatives being bounded and functions satisfying Lipschitz condition,respectively.New Ostrowski type inequalities are established in the case of the second derivatives being bounded and the first derivatives satisfying Lipschitz condition,respectively.

关 键 词：Ostrowski-Grüss型不等式 Ostrowski型不等式 导函数 LIPSCHITZ条件 双边不等式 

分 类 号：O178[理学—数学]