MMN-1819

Some estimates on the Hermite-Hadamard inequality through geometrically quasi-convex functions

M. A. Latif; Sever S. Dragomir; E. Momoniat;

Abstract

In present paper, by proving a new integral identity, using Holder's inequality and mathematical analysis, we prove some Hermite-Hadamard type integral inequalities for geometrically quasi-convex functions which give better estimates to those already proven for the right-side of a Hermite-Hadamard type inequality established for geometrically convex functions in earlier works. A numerical example is also provided to support our claim. Applications of the results to special means of positive numbers are given.


Vol. 18 (2017), No. 2, pp. 933-946
DOI: https://doi.org/10.18514/MMN.2017.1819


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