Some Companions of Fejér-Type Inequalities for Harmonically Convex Functions

Abstract

In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejér-type inequalities for harmonically convex functions by using these mappings. Properties of these mappings are discussed, and consequently, we obtain refinement inequalities of some known results.

Keywords

• Hermite–Hadamard inequality
• convex function
• harmonic convex function
• Fejér inequality