Testing dark energy models with gamma-ray bursts calibrated from the observational <i>H</i>(<i>z</i>) data through a Gaussian process

We use a cosmology-independent method to calibrate gamma-ray burst (GRB) from the observational Hubble data (OHD) with cosmic chronometers method. By using Gaussian Process reconstruct OHD, we Amati relation ($E_{\rm p}$--$E_{\rm iso}$) construct GRB diagram A118 set, and constrain Dark Energy models in flat space Markov Chain Monte Carlo numerical With GRBs at $1.4<z\leq8.2$ set Pantheon sample of type Ia supernovae (SNe Ia) $0.01<z\leq2.3$, obtained $\Omega_{\rm m}$ = $0.379^{+0.033}_{-0.024}$, $h$ $0.701^{+0.0035}_{-0.0035}$, $w$ $-1.25^{+0.14}_{-0.12}$, $w_a$ $-0.84^{+0.81}_{-0.38}$ for Chevallier-Polarski-Linder model 1$\sigma$ confidence level. find no significant evidence supporting deviations standard $\Lambda$CDM model.