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arXiv · 1701.00092

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

Bashir Ahmad·Ahmed Alsaedi·Mokhtar Kirane·Berikbol T. Torebek
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Abstract

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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Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane, Berikbol T. Torebek. 2016-12-31. Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals. https://doi.org/10.1016/j.cam.2018.12.030

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