New Inequalities for Preinvex Functions

Year 2019, Volume: 7 Issue: 1, 54 - 61, 30.04.2019

Huriye Kadakal , İmdat İşcan

https://doi.org/10.36753/mathenot.559247

Abstract

In this study, a new identity for functions defined on an open invex subset of set of real numbers is

formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by

using the this identity and the Hölder and Power mean integral inequalities we present new type integral

inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.

Keywords

Invex set, preinvex function, Hölder Integral inequality

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