New inequalities of Hermite-Hadamard type for generalized convex functions on fractal sets and its applications(分形集上广义凸函数的新Hermite-Hadamard型不等式及其应用)

基于局部分数阶微积分理论,利用分形集上广义凸函数的定义,对Hermite-Hadamard型不等式进行一些有意义的推广,得到了几个分形集Rα(0<α≤1)上涉及局部分数积分的新Hadamard型不等式.最后,给出了其在特殊均值和数值积分中的几个应用....

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Bibliographic Details
Main Authors: SUNWenbing(孙文兵), LIUQiong(刘琼)
Format: Article
Language:zho
Published: Zhejiang University Press 2017-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2017.01.007