Some inequalities for functions having Orlicz-convexity

Gabriela Cristescu, Muhammad Aslam Noor, Khalida Inayat Noor and Muhammad Uzair Awan

Applied Mathematics and Computation, 2016, vol. 273, issue C, 226-236

Abstract: Some Hermite–Hadamard type inequalities are derived for products of functions having Orlicz-convexity properties. We also obtain these inequalities via Riemann–Liouville fractional integrals for Orlicz-convex functions. These inequalities are as best as possible from the sharpness point of view, meaning that a sharpness class of functions is identified, for each inequality, within the functions that are s-affine of first kind. Some special cases are discussed.

Keywords: Convex functions; Orlicz convexity; Fractional integrals; Hermite–Hadamard inequality (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:226-236

DOI: 10.1016/j.amc.2015.09.068

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