Abstract
The class of η-quasiconvex functions was introduced in 2016. Here we establish novel inequalities of Ostrowski type for functions whose second derivative, in absolute value raised to the power q ≥ 1, is η-quasiconvex. Several interesting inequalities are deduced as special cases. Furthermore, we apply our results to the arithmetic, geometric, Harmonic, logarithmic, generalized log and identric means, getting new relations amongst them.
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Acknowledgements
This research was partially supported by the Portuguese Foundation for Science and Technology (FCT) through CIDMA, project UID/MAT/04106/2019.
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Nwaeze, E.R., Torres, D.F.M. (2019). New Inequalities for η-Quasiconvex Functions. In: Anastassiou, G., Rassias, J. (eds) Frontiers in Functional Equations and Analytic Inequalities. Springer, Cham. https://doi.org/10.1007/978-3-030-28950-8_22
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DOI: https://doi.org/10.1007/978-3-030-28950-8_22
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