Extensions of the Hermite–Hadamard inequality for harmonically convex functions via fractional integrals

Feixiang Chen

Applied Mathematics and Computation, 2015, vol. 268, issue C, 121-128

Abstract: 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 function f. Obtained results in this work involve a larger class of functions. Our results are the refinements of the existing results for harmonically convex functions.

Keywords: Hermite–Hadamard inequality; Harmonically convex functions; Fractional integrals (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:121-128

DOI: 10.1016/j.amc.2015.06.051

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