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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
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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
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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®
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": 1
引文网络
1 被引频次
8 引用的参考文献
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2013 年至今: 3
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最近的引文
Wu, Shan-He. Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex . SPRINGERPLUS, DEC 30 2015.
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EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
作者:Chen, FX (Chen, Feixiang)[ 1 ]
JOURNAL OF MATHEMATICAL INEQUALITIES
卷: 10  期: 1  页: 75-81
DOI: 10.7153/jmi-10-07
出版年: MAR 2016
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摘要
The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f. Obtained results in this work involve a larger class of functions.
关键词
作者关键词:Hermite-Hadamard inequality; convex function; Riemann-Liouville fractional integrals
作者信息
通讯作者地址: Chen, FX (通讯作者)
              Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China.
地址:
              [ 1 ] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China
电子邮件地址:cfx2002@139.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
查看基金资助信息   
出版商
ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied; Mathematics
文献信息
文献类型:Article
语种:English
入藏号: WOS:000378243500007
ISSN: 1846-579X
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: DP1IK
Web of Science 核心合集中的 "引用的参考文献": 9
Web of Science 核心合集中的 "被引频次": 0

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