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


APPLIED MATHEMATICS AND COMPUTATION


¾í: 268
Ò³: 121-128
DOI: 10.1016/j.amc.2015.06.051

³ö°æÄê: OCT 1 2015

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APPLIED MATHEMATICS AND COMPUTATION  
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1.551  1.686  
2014  5 Äê  

JCR® Àà±ð Àà±ðÖеÄÅÅÐò JCR ·ÖÇø
MATHEMATICS, APPLIED  35/257  Q1

Êý¾ÝÀ´×ÔµÚ 2014 °æ Journal Citation Reports®
³ö°æÉÌ ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
ISSN: 0096-3003
eISSN: 1873-5649
Ñо¿ÁìÓò Mathematics


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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.

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×÷Õ߹ؼü´Ê:Hermite-Hadamard inequality; Harmonically convex functions; Fractional integrals

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ͨѶ×÷ÕßµØÖ·: Chen, FX (ͨѶ×÷Õß)

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


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


µç×ÓÓʼþµØÖ·:pretty20130809@126.com

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Youth Project of Chongqing Three Gorges University of China  13QN11  
Natural Science Foundation Project of CQ CSTC  cstc2014jcyjA1312  
²é¿´»ù½ð×ÊÖúÐÅÏ¢¹Ø±Õ»ù½ð×ÊÖúÐÅÏ¢   
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).

³ö°æÉÌ
ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA

Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied

ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000361769000010

ISSN: 0096-3003

eISSN: 1873-5649

ÆÚ¿¯ÐÅÏ¢

Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
Êý¾ÝÀ´×ÔµÚ 2014 °æ Journal Citation Reports®

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Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 8

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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ÒýÓûØÌû:
2Â¥: Originally posted by nidewuliang at 2015-12-05 18:59:51
Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals ×÷Õß:Chen, FX (Chen, Feixiang)


APPLIED MATHEMATICS AND COMPUTATION


¾í: 268
Ò³: 12 ...

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