分形集上的Iyengar型不等式和Ostrowski-Iyengar型不等式  

Iyengar and Ostrowski-Iyengar Type Inequalities on Fractal Sets

作　　者：时统业[1] 曾志红 SHI Tongye;ZENG Zhihong(PLA Naval Cormmand College,Nanjing 211800,P.R.China;Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,P.R,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：《高等数学研究》2020年第4期22-28,共7页Studies in College Mathematics

摘　　要：基于局部分数阶微积分理论,建立了分形集上的Iyengar型不等式,在特殊情况下得到Iyengar型不等式的推广形式.建立了分形集上的Ostrowski-Iyengar型双边不等式,加细了分形集上Ostrowski型不等式.另外.给出Ostrowski-Grüss型不等式的一个加强.Based on the local fractional calculus theory, the Iyengar type inequality on a fractal set is established and a generalized form of the Iyengar type inequality is obtained in a special case. The Ostrowski-Iyengar type bilateral inequality on a fractal set is established and a refinement of the Ostrowski type inequality on a fractal set is obtained. In addition, a strengthened Ostrowski-Grüss type inequality is given.

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

分 类 号：O178[理学—数学]