Analytical continuation of perturbative results of the gphi4 model into the region g > or approximately

A new information concerning the behaviour of the effective charge at small distances obtained due to the progress in multiloop calculations and the method of asymptotic estimates of perturbation theory coefficients is considered. The model phisub((4))sup(4) is studied in details. Procedure of constructing the Gell-Mann-Low function approximation is suggested which is based on combining the exact coefficients of lower orders with the asymptotic estimates under the integral representation. It is found that in the gphi4 model the Gell-Mann-Low function behaves like 0.9 g2 for g > or approximately 1