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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Acknowledgements
This research was supported by FCT and CIDMA, project UID/MAT/04106/2013. The authors are grateful to the referees for their valuable comments and helpful suggestions.
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Nwaeze, E.R., Torres, D.F.M. (2018). Novel Results on Hermite–Hadamard Kind Inequalities for \(\eta \)-Convex Functions by Means of (k, r)-Fractional Integral Operators. In: Agarwal, P., Dragomir, S., Jleli, M., Samet, B. (eds) Advances in Mathematical Inequalities and Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-3013-1_16
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DOI: https://doi.org/10.1007/978-981-13-3013-1_16
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