New inequalities for $\eta$-quasiconvex functions
Classical Analysis and ODEs
2019-09-20 v1
Abstract
The class of -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 , is -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.
Cite
@article{arxiv.1809.07377,
title = {New inequalities for $\eta$-quasiconvex functions},
author = {Eze R. Nwaeze and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1809.07377},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is accepted 19-Sept-2018 as a book chapter at Springer New York, on the topic of 'Frontiers in Functional Equations and Analytic Inequalities', Edited by G. Anastassiou and J. Rassias