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Predictions for the spin dependent structure function $g_1$ of the nucleonare presented. We use an unified approach incorporating the LO DGLAP evolutionand the resummation of double logarithmic terms $ln^2(x)$. We show, that thesingular input parametrisation as $x\to 0$ can be a substitute of the $ln^2(x)$resummation. An impact of the `more running' coupling is discussed. Wedetermine the contribution to the Bjorken sum rule solving the evolutionequation for the truncated moment of $g_1^{NS}$. A comparison with there-analysed HERMES and COMPASS data is given.

Study of the nucleon spin-dependent structure function $g_1$. A comparison with recent HERMES and COMPASS data