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We discuss the application of an analytic approach called the analyticperturbation theory (APT) to the QCD analysis of DIS data. In particular, theresults of the QCD analysis of a set of `fake' data on the polarized nonsingletDelta{q3} and the nonsinglet fragmentation function D^{pi+}_{u_v} by using theQ^2-evolution within the APT are considered. The `fake' data are constructedbased on parametrization of the polarized PDF and nonsinglet combination of thepion fragmentation functions. We confirm that APT can be successfully appliedto QCD analysis of Delta{q_3}(x,Q^2) and D^{pi+}_{u_v}(z,Q^2) and that theinequality Lambda_{APT} > Lambda_{PT} obtained previously for the xF3(x)structure function takes place.

Polarized nonsinglet {Delta q}_3 and nonsinglet fragmentation function D^{pi+}_{u_v} in the analytic approach to QCD