The method of truncated Mellin moments in a solving QCD evolution equations of the nonsinglet structure functions F2NS(x,Q2) and g1NS(x,Q2) is presented. All calculations are performed within double logarithmic ln2x approximation. An equation for truncated moments which incorporates ln2x effects is formulated and solved for the unintegrated structure function fNS(x,Q2). The contribution to the Bjorken sum rule coming from the region of very small x is quantified. Further possible improvement of this approach is also discussed.
PACS numbers: 12.38. Bx
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