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An approximation of $$L_{p}(\Omega )$$ processes. (English. Russian original) Zbl 1246.60052
Theory Probab. Math. Stat. 83, 71-82 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 59-68 (2010).
Summary: Bounds for the increments of stochastic processes belonging to some classes of the space $$L_p(\Omega )$$ are obtained in the $$L_q[a,b]$$ metric. An approximation of such processes by trigonometric sums is studied in the space $$L_{q}[0,2\pi]$$.

##### MSC:
 60G07 General theory of stochastic processes 41A25 Rate of convergence, degree of approximation 42A10 Trigonometric approximation
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##### References:
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