Preprint Article Version 1 This version is not peer-reviewed

Some Integral Inequalities for h-Godunova-Levin Preinvexity

Version 1 : Received: 15 November 2019 / Approved: 17 November 2019 / Online: 17 November 2019 (09:24:55 CET)

A peer-reviewed article of this Preprint also exists.

Almutairi, O.; Kılıçman, A. Some Integral Inequalities for h-Godunova-Levin Preinvexity. Symmetry 2019, 11, 1500. Almutairi, O.; Kılıçman, A. Some Integral Inequalities for h-Godunova-Levin Preinvexity. Symmetry 2019, 11, 1500.

Journal reference: Symmetry 2019, 11, 1500
DOI: 10.3390/sym11121500

Abstract

In this study, we define new classes of convexity called of h-Godunova-Levin and h-Godunova-Levin preinvexity, through which some new inequalities of Hermite-Hadamard type were established. These new classes are the generalisation of several known convexity including the s-convex, P-function, Godunova-Levin. Further, the properties of h-Godunova-Levin function were also discussed. Meanwhile, the applications of h-Godunova-Levin Preinvex function are given

Subject Areas

Hermite-Hadamard inequality; h-convexity; h-Godunova-Levin function; h-Godunova-Levin preinvex function

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