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

摘要

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 betterestimates 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.