The constraint of the deceleration parameter associated with dark energy stands as one of the most captivating subjects in the present cosmological framework. This study centers on the parametric reconstruction of the deceleration parameter in a flat Friedmann–Robertson–Walker (FLRW) Universe that encompasses radiation, dark energy, and pressure-less dark matter. In this context, we thoroughly investigate a highly motivated parametrization of q(z), which offers an evolutionary scenario from deceleration to the acceleration phase of the Universe. The crucial task of estimating the parametrization of the Hubble parameter is accomplished through its incorporation into the Friedmann equation. The free parameters are subsequently constrained utilizing a comprehensive set of observational data, including H(z), type Ia supernovae (SNIa), Baryon Acoustic Oscillation (BAO), Gamma Ray Burst (GRB), and Quasar (Q) measurements. Implementing the Markov Chain Monte Carlo (MCMC) technique and the H(z) + BAO + SNIa + GRB + Q dataset, we derive the best-fit values for the model parameters. Consequently, we provide a graphical analysis of the cosmographic parameters such as deceleration, jerk, and snap parameters by applying these optimized model parameter values. Finally, we compare our results with those of the standard \(\Lambda \)CDM paradigm to evaluate the viability of our proposed models.

与暗能量相关的减速参数的约束是当前宇宙学框架中最吸引人的主题之一。这项研究的重点是对包含辐射、暗能量和无压暗物质的平坦弗里德曼-罗伯逊-沃克 (FLRW) 宇宙中的减速参数进行参数化重建。在这种背景下，我们彻底研究了q ( z )的高度积极的参数化，它提供了宇宙从减速到加速阶段的演化场景。估计哈勃参数参数化的关键任务是通过将其纳入弗里德曼方程来完成的。随后利用一组全面的观测数据来约束自由参数，包括H ( z )、Ia 型超新星 (SNIa)、重子声振荡 (BAO)、伽马射线爆发 (GRB) 和类星体 (Q) 测量。实施马尔可夫链蒙特卡罗 (MCMC) 技术和H ( z ) + BAO + SNIa + GRB + Q 数据集，我们得出模型参数的最佳拟合值。因此，我们通过应用这些优化的模型参数值来提供宇宙学参数（例如减速度、急动度和捕捉参数）的图形分析。最后，我们将我们的结果与标准\(\Lambda \) CDM 范式的结果进行比较，以评估我们提出的模型的可行性。