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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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