Аңдатпа
We investigate a cosmological scenario based on the power–law entropy–corrected holographic dark energy (PLECHDE) model combined with a normalized cubic parametrization of the Hubble expansion rate. The framework incorporates quantum–gravity–motivated corrections to the horizon entropy while retaining a flexible, data driven description of the cosmic expansion history. The model is formulated in a spatially flat FLRW background, and the resulting dynamical and geometrical quantities including the dark-energy density, pressure, equation of state, deceleration parameter, and statefinder diagnostics are derived and analyzed. To constrain the free parameters of the model, we perform a comprehensive statistical analysis using observational Hubble data from cosmic chronometers (OHD), DESI measurements, and the Pantheon + compilation of Type Ia supernovae. From the joint OHD + DESI DR2 + Pantheon + dataset, we obtain the best-fit values H 0 = 73 . 15 − 0.20 + 0.21 km/s/Mpc, α = 1 . 75 − 0.28 + 0.29 , β = − 0 . 75 − 0.21 + 0.21 , and γ = 0 . 64 − 0.07 + 0.07 with the entropy correction parameter constrained within the consistent range δ > 2. The joint analysis yields a slightly lower χ min 2 compared to the standard ΛCDM model and negative values of ΔAIC and ΔBIC, indicating a mild statistical preference for the proposed model. The cosmological evolution exhibits a smooth transition from a matter-dominated decelerated phase to a late-time accelerated expansion, with the transition redshift lying in the observationally consistent range 0.5 ≲ z t ≲ 0.7. Overall, our results demonstrate that the PLECHDE model with a cubic Hubble parametrization provides a physically consistent and observationally viable description of late time cosmic acceleration, with entropy corrections introducing controlled deviations that can be tested by future high precision cosmological surveys.