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: 10.18514/MMN.2017.1819