Synthesis of DGLAP and total resummation of leading logarithms for the   non-singlet spin structure function g_1
  The explicit expressions for the non-singlet DIS structure function g_1 at small $x$ are obtained by resumming the leading logarithmic contributions. The role played by the fits for the initial parton densities currently used in the DGLAP on the small-x behavior of the non-singlet g_1 is discussed. Explicit expressions combining DGLAP with our results are presented. 
B.I. Ermolaev, M. Greco, S.I. Troyan