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

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

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


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.


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

Conflict of interest statement

The authors declare that they have no competing interests.

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