(1)
Fejer and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
×÷Õß:Chen, FX (Chen, Feixiang)[ 1 ] ; Wu, SH (Wu, Shanhe)[ 2 ]
JOURNAL OF APPLIED MATHEMATICS
ÎÄÏ׺Å: 386806
DOI: 10.1155/2014/386806
³ö°æÄê: 2014
²é¿´ÆÚ¿¯ÐÅÏ¢
ÕªÒª
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.
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Wu, SH (ͨѶ×÷Õß)
Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China.
µØÖ·:
[ 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
µç×ÓÓʼþµØÖ·:shanhewu@gmail.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ
Youth Project of Chongqing Three Gorges University of China
13QN11
Foundation of Scientific Research Project of Fujian Province Education Department of China
JK2012049
²é¿´»ù½ð×ÊÖúÐÅÏ¢
³ö°æÉÌ
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000343485700001
ISSN: 1110-757X
µç×Ó ISSN: 1687-0042
ÆÚ¿¯ÐÅÏ¢
Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
ÆäËûÐÅÏ¢
IDS ºÅ: AR3KE
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 10
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
(2)
Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
×÷Õß:Li, GZ (Li, Guangzhou)[ 1 ] ; Chen, FX (Chen, Feixiang)[ 2 ]
ABSTRACT AND APPLIED ANALYSIS
ÎÄÏ׺Å: 851271
DOI: 10.1155/2014/851271
³ö°æÄê: 2014
²é¿´ÆÚ¿¯ÐÅÏ¢
ÕªÒª
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.
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Chen, FX (ͨѶ×÷Õß)
Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China.
µØÖ·:
[ 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
µç×ÓÓʼþµØÖ·:cfx2002@126.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ
Youth Project of Chongqing Three Gorges University of China
13QN11
²é¿´»ù½ð×ÊÖúÐÅÏ¢
³ö°æÉÌ
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied; Mathematics
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000343555600001
ISSN: 1085-3375
µç×Ó ISSN: 1687-0409
ÆÚ¿¯ÐÅÏ¢
Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
ÆäËûÐÅÏ¢
IDS ºÅ: AR4KK
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 11
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0