HERMITE-HADAMARD'S INEQUALITIES FOR η-CONVEX FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRALS AND RELATED INEQUALITIES

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