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arXiv · 1809.07377

New inequalities for $\eta$-quasiconvex functions

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

The class of $\eta$-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 $q\geq 1$, is $\eta$-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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Eze R. Nwaeze, Delfim F. M. Torres. 2018-09-19. New inequalities for $\eta$-quasiconvex functions. https://doi.org/10.1007/978-3-030-28950-8_22

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