Pompeiu型不等式的拓展  

Extensions of Pompeiu s Type Inequality

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

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系,广东广州510303

出　　处：《南昌师范学院学报》2020年第6期1-5,共5页Journal of Nanchang Normal University

基　　金：广东省普通高校特色创新类项目“复域微分差分方程和差分值分布的研究”,编号:2019KTSCX119。

摘　　要：考虑在不包含0的区间I上的可微函数f和I的子区间[a,b],对于任意■,利用Pompeiu中值定理和普通的数学分析的方法建立了关于差值■的不等式,拓展了Pompeiu不等式。In this paper,we consider differentiable function f on interval I not containing 0 and sub interval[a,b].For any ■,inequalities involving the difference ■ are established by using Pompeiu’s mean value theorem and common mathematical analysis method,and Pompeiu’s type inequality is extended.

关 键 词：Pompeiu型不等式 Pompeiu中值定理 可微函数 双边不等式 

分 类 号：O178[理学—数学]