Some fractional integrals inequalities for h-preinvex functions and applications to numerical integration(几个h-预不变凸函数的分数阶积分不等式及在数值积分中的应用)

Some fractional integrals inequalities for h-preinvex functions and applications to numerical integration(几个h-预不变凸函数的分数阶积分不等式及在数值积分中的应用)

构造了一个带参数的Riemann-Liouville分数阶积分恒等式，得到几个关于h-预不变凸函数的带参数的分数阶积分不等式。当参数取特殊值时，分别得到了“中点型”“梯形型”和“Simpson型”积分不等式。利用构建的不等式得到了几个经典数值积分的误差估计式。...

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Bibliographic Details
Main Authors: SUNWenbing(孙文兵), XIEWenping(谢文平)
Format: Article
Language:zho
Published: Zhejiang University Press 2022-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
h-预不变凸函数
hermite-hadamard型不等式
simpson型不等式
riemann-liouville分数阶积分
误差估计
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2022.03.007

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https://doi.org/10.3785/j.issn.1008-9497.2022.03.007

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