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arxiv: 1701.00092 · v2 · pith:V3VGMZELnew · submitted 2016-12-31 · 🧮 math.FA

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

classification 🧮 math.FA
keywords inequalitiesconvexdragomir-agarwalfractionalfunctionshermite-hadamardpachpatteresults
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The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel. These results allow us to obtain a new class of functional inequalities which generalizes known inequalities involving convex functions. Furthermore, the obtained results may act as a useful source of inspiration for future research in convex analysis and related optimization fields.

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