Abstract
The problem of mean-square approximation of complex variables functions regularly in some simply connected domainDc C with Fourier series by orthogonal system when the weighted functionγ: =γ(|z|) is nonnegative integrable inD, was considered. An exact convergence rate of Fourier series by orthogonal system of functions on some class of functions given by special module of continuity ofm-thorder were obtained. An exact values ofn-widthsfor specified class of functions were calculated.
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