Reconstructing f(R)f(R) theory according to holographic dark energy

In this Letter a connection between the holographic dark energy model and the f(R)f(R) theory is established. We treat the f(R)f(R) theory as an effective description for the holographic dark energy and reconstruct the function f(R)f(R) with the parameter c>1c>1, c=1c=1 and c<1c<1, respectively. We show the distinctive behavior of each cases realized in f(R)f(R) theory, especially for the future evolution.