Chernikova+, A.V.Kotikov∗Ч1) +Sunday School, 141980 Dubna, Russia ∗II Institut fur Theoretische Physik, Universitat Hamburg, 22761 Hamburg, Germany ЧLaboratory of Theoretical Physics of the Joint Institute for Nuclear Research, 141980 Dubna, Russia Submitted 13 December 2016 DOI: 10.7868/S0370274X17040038 For experimental studies of hadron-hadron processes on the LHC collider, it is necessary to know in detail the values of the parton (quark and gluon) distribution functions (PDFs) of nucleons, especially at small values of Bjorken variable x. <...> The basic information about PDF properties can be extracted from the process of deep inelastic lepton-hadron scattering (DIS). <...> In the small-x regime, nonperturbative effects were expected to give important contributions. <...> However, what is observed up to very low Q2 ∼ 1 GeV2 values, traditionally explained by soft processes, is described reasonably well by perturbative OCD evolution. <...> This evolution leads to a rather singular PDF behavior at small x values, which violates the Froissard boundary. <...> Recently the new form of the DIS structure function F2(x,Q2) was proposed by E.L.Berger,M.M.Block, and C.I.Tan (BBT). <...> The structure function FBBT leads to the low x asymptotics of the (reducted) DIS 2 (x,Q2) cross-sections ∼ ln2 1/x, which is in turn in an agreement with the Froissard predictions. gluon density at small values of x, using the structure function FBBT 2 g In the present paper we study the behaviour of the (x,Q2) and following to our previous studies in the framework of perturbative OCD. <...> We show that, the small x behaviour of the corresponding gluon density xfBBT directly from the values of FBBT 2 (x,Q2) can be extracted (x,Q2) at the leading order of perturbation theory. <...> The obtained gluon density fBBT g (x,Q2) is significantly less singular in comparison with the corresponding PDFs in perturbation theory. <...> It will be used for future study of the high-energy behavior of photon, neutrino and proton cross sections. <...> Full text of the paper is published in JETP Letters journal. <...> For experimental studies of hadron-hadron processes on the LHC collider, it is necessary to know in detail the values of the parton (quark and gluon <...>