Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals 作者:Chen, FX (Chen, Feixiang)


APPLIED MATHEMATICS AND COMPUTATION


卷: 268
页: 121-128
DOI: 10.1016/j.amc.2015.06.051

出版年: OCT 1 2015

查看期刊信息

APPLIED MATHEMATICS AND COMPUTATION  
影响因子
1.551  1.686  
2014  5 年  

JCR® 类别 类别中的排序 JCR 分区
MATHEMATICS, APPLIED  35/257  Q1

数据来自第 2014 版 Journal Citation Reports®
出版商 ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
ISSN: 0096-3003
eISSN: 1873-5649
研究领域 Mathematics


摘要
The main aim of this paper is to give extensions of the Hermite-Hadamard inequality for harmonically convex functions via Riemann-Liouville fractional integrals. We show how to relax the harmonically convexity property of the functionf. Obtained results in this work involve a larger class of functions. Our results are the refinements of the existing results for harmonically convex functions. (C) 2015 Elsevier Inc. All rights reserved.

关键词
作者关键词:Hermite-Hadamard inequality; Harmonically convex functions; Fractional integrals

作者信息
通讯作者地址: Chen, FX (通讯作者)

       Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Wanzhou 404100, Peoples R China.


地址:

       [ 1 ] Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Wanzhou 404100, Peoples R China


电子邮件地址:pretty20130809@126.com

基金资助致谢
基金资助机构 授权号
Youth Project of Chongqing Three Gorges University of China  13QN11  
Natural Science Foundation Project of CQ CSTC  cstc2014jcyjA1312  
查看基金资助信息关闭基金资助信息   
The present investigation was supported by the Youth Project of Chongqing Three Gorges University of China (no.13QN11) and the Natural Science Foundation Project of CQ CSTC (no.cstc2014jcyjA1312).

出版商
ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA

类别 / 分类
研究方向:Mathematics

Web of Science 类别:Mathematics, Applied

文献信息
文献类型:Article

语种:English

入藏号: WOS:000361769000010

ISSN: 0096-3003

eISSN: 1873-5649

期刊信息

Impact Factor (影响因子): Journal Citation Reports®
数据来自第 2014 版 Journal Citation Reports®

其他信息
IDS 号: CS0RD

Web of Science 核心合集中的 "引用的参考文献": 8

Web of Science 核心合集中的 "被引频次": 0，

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