Scaling violation and shadowing corrections at HERA

We study the value of shadowing corrections (SC) in the HERA kinematic regi on in the Glauber-Mueller approach. Since the Glauber-Mueller approach was proven in perturbative quantum chromodynamics (QCD) in the double-logarithm ic approximation (DLA), we develop the DLA approach for the deep inelastic structure function which takes into account the SC. Our estimates show smal l SC for F-2 in the HERA kinematic region while they turn out to be sizable for the gluon structure function. We compare our estimates with those for gluon distribution in leading order (LO) and next to leading order (NLO) in the DGLAP evolution equations.