Inequalities of Hermite–Hadamard Type for Composite Convex Functions

Hermite-Hadamard Type Inequalities for Composite Log-Convex Functions

“…The definition of composite convex function can be refined for some other functions, such as h-convex function, log-convex function and (α,m)-convex function. Composite h-convex function was defined by Dragomir [3], composite log-convex function is defined in this paper and composite (α,m)-convex function can be explored in future research.…”

“…is known as an inequality of Hermite-Hadamard type for log-convex functions. The definition of composite convex function was given by Dragomir [2]. The definition is stated below:…”

“…Dragomir [3] then refined the concept of composite convex function and obtained the definition of composite h-convex function. Furthermore, the Hermite-Hadamard inequalities for composite h-convex function were obtained.…”