Hermite-Hadamar's inequalities for $\eta$-convex functions via conformable fractional integrals and related inequalities

Abstract

In this paper, we present a Hermite-Hadamard inequality for conformable fractional integrals by using $\eta$-convex functions. We also establish an identity associated to the right hand side of Hermite-Hadamard inequality for $\eta$-convex functions, then by using this identity and $\eta$-convexity of functions and some well-known inequalities we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.