چکیده (انگلیسی):

In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej´er type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form. We prove that, in most cases, we obtain the Riemann–Liouville and the Hadamard equivalence just by taking limits when a parameter ρ → 1 and ρ → 0+, respectively.