| 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 |
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| 引用本文： | 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),2002,57(4):793-802. |
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| 作者姓名： | 邱克娥 陈松良 邓喜才 陶磊 刘卓 |
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| 作者单位： | 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
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| 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.
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| 关 键 词： | 广义s-凸函数 局部分数积分 Hermite Hadamard不等式 分形空间 |
| 收稿时间： | 2018-08-05 |
A Class of Inequalities of Hadamard with Local Fractional Integrals for Generalized s-Convex Functions on Fractal Sets and Their Applications#br# |
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| 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: Sci Ed,2002,57(4):793-802. |
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| Authors: | QIU Ke’e CHEN Songliang DENG Xicai TAO Lei LIU Zhuo |
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| Institution: | 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
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| Abstract: | By using the analytical method of local fractional integrals, we gave a Hadamard type identity of generalized s-convex functions onfractal sets, and then obtained a class of Hadamard inequalities, some applications were given by combining numerical integration and several special means. |
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| Keywords: | generalized s-convex function local fractional integral Hermite Hadamard inequalities fractal space |
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