Abstract
This paper aims to put constraints on the transition redshift zt, which determines the onset of cosmic acceleration, in cosmological-model independent frameworks. In order to do that, we use the non-parametric Gaussian Process method with H(z) and SNe Ia data. The deceleration parameter reconstruction from H(z) data yields zt=0.59+0.12−0.11. The reconstruction from SNe Ia data assumes spatial flatness and yields zt=0.683+0.11−0.082. These results were found with a Gaussian kernel and we show that they are consistent with two other kernel choices.