分形集上的加权Ostrowski型双边不等式  

Two-sided Weighted Ostrowski Type Inequalities on Fractal Sets

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）》2020年第5期11-17,共7页Journal of Capital Normal University：Natural Science Edition

摘　　要：基于局部分数阶微积分理论,针对具有有界的一阶局部分数阶导数的函数,通过建立恒等式,用引入参数求最值的方法,得到分形集上的加权Ostrowski型双边不等式.Based on the theory of local fractional calculus on fractal sets,two-sided weighted Ostrowski type inequalities for functions whose first order local fractional derivatives are bounded on fractal sets are obtained by establishing the identity and using the method of introducing parameter to find the maximum.

关 键 词：Ostrowski型不等式 局部分数阶导数 局部分数阶积分 分形集 权函数 

分 类 号：O178[理学—数学]