Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions

Abstract

Abstract In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable mappings. Conformable fractional integrals are used to derive these inequalities. Furthermore, we provide our results by using special cases of obtained theorems.

Keywords

• Midpoint type inequality
• Trapezoid type inequality
• Fractional conformable integrals
• Convex function