分形集上的加权Iyengar型不等式  

Weighted Iyengar Type Inequalities on Fractal Sets

作　　者：时统业[1] 董芳芳[1] SHI Tongye;DONG Fangfang(PLA Naval Command College,Nanjing 211800,China)

机构地区：[1]海军指挥学院,江苏南京211800

出　　处：《湖南理工学院学报（自然科学版）》2020年第1期1-5,62,共6页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：借助已有文献给出的局部分数阶导数的局部分数阶积分恒等式,基于分形集上局部分数阶微积分理论,建立了分形集上局部分数阶加权Iyengar型不等式,推广了Iyengar型不等式.Based on local fractional calculus theory on fractal sets,weighted Iyengar-type inequalities involving local fractional integrals on fractal sets were established by means of local fractional integral identity involving local fractional derivatives given in the literature,and Iyengar-type inequalities were generalized.

关 键 词：局部分数阶积分 Iyengar型不等式 分形集 权函数 

分 类 号：O178[理学—数学]