A new parametrization of Hubble function and Hubble tension

We present a new Hubble parameterization method and employ observational data from Hubble, Pantheon, and Baryon Acoustic Oscillations to constrain model parameters. The proposed method is thoroughly validated against these datasets, demonstrating a robust fit to the observational data. The obtained best-fit values are $H_0=67.5_{-1.6}^{+1.3}$ ${\text{km s}}^{-1}{\text{Mpc}}^{-1}$, ${\mathrm{\Omega }}_{\mathrm{m}0}=0.2764\pm 0.0094$, and $\alpha =0.33\pm 0.22$, consistent with the Planck 2018 results, highlighting the existence of Hubble tension.