Some inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means

Abstract

In the paper, the authors, by Hölder's inequality, establish some Hermite-Hadamard type integral inequalities for GA-convex functions and apply these inequalities to construct several inequalities for special means.

Keywords

• Hermite-Hadamard's integral inequality
• Convex function
• GA-convex function
• Hölder's inequality
• Means