新的广义Ostrowski型不等式的加强  

Strengthen of new generalized Ostrowski type inequalities

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

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：《首都师范大学学报（自然科学版）》2022年第1期12-18,共7页Journal of Capital Normal University：Natural Science Edition

摘　　要：为了进一步研究广义Ostrowski型不等式,基于积分恒等式和引入参数求最值的方法,建立了一些绝对连续函数和二阶可微函数的不等式,加强了已有文献给出的涉及函数平均值和区间的广义Ostrowski型不等式.In order to further study the generalized Ostrowski type inequality,based on the integral identities and using the method of introducing parameter to find the minumum,some inequalities involving integral means over end intervals covering the entire interval are established for absolutely continuous functions and twice differentiable functions,strengthening new generalized Ostrowski type inequalities in the existing literatures.

关 键 词：Ostrowski型不等式 绝对连续函数 二阶可微函数 双边不等式 

分 类 号：O178[理学—数学]