Weighted version of Hermite-Hadamard type inequalities for geometrically quasi-convex functions and their applications

Sofian Obeidat; Muhammad Amer Latif

doi:10.1186/s13660-018-1904-7

Weighted version of Hermite-Hadamard type inequalities for geometrically quasi-convex functions and their applications

J Inequal Appl. 2018;2018(1):307. doi: 10.1186/s13660-018-1904-7. Epub 2018 Nov 12.

Authors

Sofian Obeidat¹, Muhammad Amer Latif¹

Affiliation

¹ Department of Basic Sciences, Deanship of Preparatoray Year Program, University of Hail, Hail, Saudi Arabia.

Abstract

This paper presents new weighted Hermite-Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions. Some applications of these results to special means of positive real numbers have also been presented. These findings have been proved to be useful for researchers working in the fields of numerical analysis and mathematical inequalities.

Keywords: Convex function; Geometrically quasi-convex function; Geometrically symmetric function; Hermite–Hadamard inequality; Holder inequality; Special means.