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arxiv: 1711.08051 · v1 · pith:RLOKKR5Anew · submitted 2017-11-04 · 🧮 math.CA

Inequalities related to Symmetrized Harmonic Convex Functions

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keywords harmonicconvexfunctionssymmetrizedfunctionhermite-hadamardtypeclass
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In this paper, we extend the Hermite-Hadamard type $\dot{I}$scan inequality to the class of symmetrized harmonic convex functions. The corresponding version for harmonic h-convex functions is also investigated. Furthermore, we establish Hermite-Hadamard type inequalites for the product of a harmonic convex function with a symmetrized harmonic convex function.

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