Abstract :
In this work, motivated by the energy bound suggested by Cohen et al., we propose the modified holographic dark energy (MHDE) model. Choosing the IR cut-off image and considering the parameterizations image, image and image, we derive all the physical quantities of the non-saturated MHDE model analytically. We find that the non-saturated MHDE models with the parameterizations image and image are single-parameter models in practice. Also, we consider the cosmological constraints on the non-saturated MHDE, and find that it is well consistent with the observational data.