(1)
Fejer and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
作者:Chen, FX (Chen, Feixiang)[ 1 ] ; Wu, SH (Wu, Shanhe)[ 2 ]
JOURNAL OF APPLIED MATHEMATICS
文献号: 386806
DOI: 10.1155/2014/386806
出版年: 2014
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摘要
We establish a Fejer type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejer type inequalities for harmonically convex functions are also considered.
作者信息
通讯作者地址: Wu, SH (通讯作者)
Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China.
地址:
[ 1 ] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China
[ 2 ] Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China
电子邮件地址:shanhewu@gmail.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
Foundation of Scientific Research Project of Fujian Province Education Department of China
JK2012049
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出版商
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 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:000343485700001
ISSN: 1110-757X
电子 ISSN: 1687-0042
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AR3KE
Web of Science 核心合集中的 "引用的参考文献": 10
Web of Science 核心合集中的 "被引频次": 0
(2)
Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
作者:Li, GZ (Li, Guangzhou)[ 1 ] ; Chen, FX (Chen, Feixiang)[ 2 ]
ABSTRACT AND APPLIED ANALYSIS
文献号: 851271
DOI: 10.1155/2014/851271
出版年: 2014
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摘要
We use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.
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, Dept Sports & Hlth, Chongqing 404000, Peoples R China
[ 2 ] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China
电子邮件地址:cfx2002@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
查看基金资助信息
出版商
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
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:000343555600001
ISSN: 1085-3375
电子 ISSN: 1687-0409
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AR4KK
Web of Science 核心合集中的 "引用的参考文献": 11
Web of Science 核心合集中的 "被引频次": 0