分形集上关于扰动的梯形积分公式的lyengar型不等式  

Iyengar’s Type Inequalities on Fractal Sets for the Perturbed Trapezoidal Quadrature Rule

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

出　　处：《五邑大学学报（自然科学版）》2020年第2期15-23,共9页Journal of Wuyi University(Natural Science Edition)

摘　　要：基于局部分数阶微积分理论,通过建立恒等式,用引入参数求最值的方法,针对具有有界的二阶局部分数阶导数的函数,得到分形集上的关于扰动的梯形积分公式的Iyengar型不等式.在特殊情况下得到关于扰动的梯形积分公式的Iyengar型不等式,并比较了它们的强弱.Based on the theory of local fractional calculus on fractal sets,Iyengar’s type inequalities on fractal sets for the perturbed trapezoidal quadrature rule for functions whose second order local fractional derivatives are bounded are obtained by establishing the identity and using the method of introducing parameter to find the maximum.In special cases,Iyengar’s type inequalities for the perturbed trapezoidal quadrature rule are obtained,and their relationship is studied.

关 键 词：梯形不等式 Iyengar型不等式 二阶局部分数阶导数 局部分数阶微积分 分形集 

分 类 号：O178[理学—数学]