Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality

Abstract

In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)−convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.

Keywords

• weighted Hermite–Hadamard inequality
• Steffensen’s inequality
• Taylor’s formula
• <i>n</i>-convex functions