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arXiv · 1802.05619

Novel results on Hermite-Hadamard kind inequalities for $\eta$-convex functions by means of $(k,r)$-fractional integral operators

Eze R. Nwaeze·Delfim F. M. Torres
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Abstract

We establish new integral inequalities of Hermite-Hadamard type for the recent class of $\eta$-convex functions. This is done via generalized $(k,r)$-Riemann-Liouville fractional integral operators. Our results generalize some known theorems in the literature. By choosing different values for the parameters $k$ and $r$, one obtains interesting new results.

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Eze R. Nwaeze, Delfim F. M. Torres. 2018-02-15. Novel results on Hermite-Hadamard kind inequalities for $\eta$-convex functions by means of $(k,r)$-fractional integral operators. https://doi.org/10.1007/978-981-13-3013-1_16

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