Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Abstract

Abstract In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.

Keywords

• Convex functions
• Hermite–Hadamard inequalities
• Jensen–Mercer inequality
• Conformable integrals