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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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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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              Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Wanzhou 404100, Peoples R China.
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EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
×÷Õß:Chen, FX (Chen, Feixiang)[ 1 ]
JOURNAL OF MATHEMATICAL INEQUALITIES
¾í: 10  ÆÚ: 1  Ò³: 75-81
DOI: 10.7153/jmi-10-07
³ö°æÄê: MAR 2016
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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.
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×÷Õ߹ؼü´Ê:Hermite-Hadamard inequality; convex function; Riemann-Liouville fractional integrals
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              Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China.
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