  The present work is based on a parametric reconstruction of the deceleration
parameter $q(z)$ in a model for the spatially flat FRW universe filled with
dark energy and non-relativistic matter. In cosmology, the parametric
reconstruction technique deals with an attempt to build up a model by choosing
some specific evolution scenario for a cosmological parameter and then estimate
the values of the parameters with the help of different observational datasets.
In this paper, we have proposed a logarithmic parametrization of $q(z)$ to
probe the evolution history of the universe. Using the type Ia supernova
(SNIa), baryon acoustic oscillation (BAO) and the cosmic microwave background
(CMB) datasets, the constraints on the arbitrary model parameters $q_{0}$ and
$q_{1}$ are obtained (within $1\sigma$ and $2\sigma$ confidence limits) by
$\chi^{2}$-minimization technique. We have then reconstructed the deceleration
parameter, the total EoS parameter $\omega_{tot}$, the jerk parameter and have
compared the reconstructed results of $q(z)$ with other well-known
parametrizations of $q(z)$. We have also shown that two model selection
criteria (namely, Akaike information criterion and Bayesian Information
Criterion) provide the clear indication that our reconstructed model is well
consistent with other popular models.
