  We place novel constraints on the cosmokinetic parameters by using a joint
analysis of the newest VLT-KMOS HII galaxies (HIIG) with the Supernovae Type Ia
(SNIa) Pantheon sample. We combine the latter datasets in order to reconstruct,
in a model-independent way, the Hubble diagram to as high redshifts as
possible. Using a Gaussian process we derive the basic cosmokinetic parameters
and compare them with those of $\Lambda$CDM. In the case of SNIa, we find that
the extracted values of the cosmokinetic parameters are in agreement with the
predictions of $\Lambda$CDM model. Combining SNIa with high redshift tracers of
the Hubble relation, namely HIIG data, we obtain consistent results with those
based on $\Lambda$CDM as far as the present values of the cosmokinetic
parameters are concerned, but find significant deviations in the evolution of
the cosmokinetic parameters with respect to the expectations of the concordance
$\Lambda$CDM model.
