Some Companions of Fejer-Type Inequalities for Harmonically Convex Functions

In this paper, we present some mappings defined over [0,1] related to the Fejer-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejer-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.

Automated summary

This paper introduces mappings related to Fejer-type inequalities for harmonically convex functions defined on [0,1], and obtains companions of Fejer-type inequalities for harmonically convex functions using these mappings. The properties of these mappings are discussed, leading to refinement inequalities of some known results.