Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities

Abstract

In the present note, first we have established Hermite–Hadamard’s inequalities for fractional integrals. Second, an integral identity and some Hermite–Hadamard type integral inequalities for the fractional integrals are obtained and these results have some relationships with [S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11 (5) (1998), 91–95)].