Reconstruction of f(G) gravity with ordinary and entropy-corrected (m,n)-type holographic dark energy model

We have discussed the correspondence of the well-accepted f(G) gravity theory with two dark energy models: (m, n)-type holographic dark energy ((m, n)-type HDE) and entropy-corrected (m, n)-type holographic dark energy. For this purpose, we have considered the power law form of the scale factor a(t) = a0tp, p > 1. The reconstructed f(G) in these models has been found and the models in both cases are found to be realistic. We have also discussed the classical stability issues in both models. The (m, n)-type HDE and its entropy-corrected version are more stable than the ordinary HDE model.