- - - Department of Mathematics, Kharazmi University, Tehran, Iran

In this paper we establish an extension of Hermite-Hadamard inequality and as a result we obtain the Hermite-Hadamard inequality for fractional integral and logarithmic integral. Also we get a new refinement of it. Some examples are given.

Hermite-Hadamard inequality, Riemann-Liouille, Fractional integrals, Integral inequality