  We study the inflation via logarithmic entropy-corrected holographic dark
energy LECHDE model with future event horizon, particle horizon and Hubble
horizon cut-offs, and compare the results with those of obtained in the study
of inflation by holographic dark energy HDE model. In comparison, the spectrum
of primordial scalar power spectrum in the LECHDE model becomes redder than the
spectrum in HDE model. Moreover, the consistency with the observational data in
LECHDE model of inflation, constrains the reheating temperature and Hubble
parameter by one parameter of holographic dark energy and two new parameters of
logarithmic corrections.
