分形集上广义s-凸函数的一类带有局部分数积分的Hadamard不等式及应用

吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (04): 793-802.

分形集上广义s-凸函数的一类带有局部分数积分的Hadamard不等式及应用

邱克娥^1,2, 陈松良^1, 邓喜才^1, 陶磊^1, 刘卓^1,2

1. 贵州师范学院数学与大数据学院, 贵阳 550018; 2. 贵州师范学院大数据科学与智能工程研究院, 贵阳 550018

收稿日期:2018-08-05 出版日期:2019-07-26 发布日期:2019-07-11
通讯作者: 邱克娥 E-mail:qke456@sina.com

A Class of Inequalities of Hadamard with Local Fractional Integrals for Generalized s-Convex Functions on Fractal Sets and Their Applications#br#

QIU Ke’e^1,2, CHEN Songliang^1, DENG Xicai^1, TAO Lei^1, LIU Zhuo^1,2

1. School of Mathematics and Big Data Sciences, Guizhou Education University, Guiyang 550018, China;2. Big Data Science and Intelligent Engineering Research Institute, Guizhou Education University, Guiyang 550018, China

Received:2018-08-05 Online:2019-07-26 Published:2019-07-11
Contact: QIU Ke’e E-mail:qke456@sina.com

摘要/Abstract

摘要： 利用局部分数积分的分析方法, 给出分形集上广义s-凸函数的Hadamard型恒等式, 进而得到一类Hadamard不等式, 并结合数值积分及几个常用的平均值给出其应用.

关键词: 广义s-凸函数, 局部分数积分, HermiteHadamard不等式, 分形空间

Abstract: By using the analytical method of local fractional integrals, we gave a Hadamard type identity of generalized s-convex functions on fractal sets, and then obtained a class of Hadamard inequalities, some applications were given by combining numerical integration and several special means.

Key words: generalized s-convex function, local fractional integral, HermiteHadamard inequalities, fractal space

中图分类号:

O178

邱克娥, 陈松良, 邓喜才, 陶磊, 刘卓. 分形集上广义s-凸函数的一类带有局部分数积分的Hadamard不等式及应用[J]. 吉林大学学报(理学版), 2019, 57(04): 793-802.

QIU Ke’e, CHEN Songliang, DENG Xicai, TAO Lei, LIU Zhuo. A Class of Inequalities of Hadamard with Local Fractional Integrals for Generalized s-Convex Functions on Fractal Sets and Their Applications#br#[J]. Journal of Jilin University Science Edition, 2019, 57(04): 793-802.