New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

Abstract

In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity. Using this identity, we establish several Hermite–Hadamard type inequalities for exponentially convexity, which can be obtained from our results. Some special cases are also discussed.

Keywords

• convex function
• exponential convex function
• Hermite–Hadamard inequality
• α-fractional
• integral inequalities