The problem of mean-square approximation of complex variables functions regularly in some simply connected domain* D *c C with Fourier series by orthogonal system when the weighted function *γ*: = *γ*(|*z|*) is nonnegative integrable in *D*, 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 of *m-th* order were obtained. An exact values of *n*-*widths* for specified class of functions were calculated.

Periodical:

International Journal of Advanced Research in Mathematics (Volume 9)

Pages:

34-43

Citation:

M. S. Shabozov and M. S. Saidusaynov, "Mean-Square Approximation of Complex Variable Functions by Fourier Series in the Weighted Bergman Space", International Journal of Advanced Research in Mathematics, Vol. 9, pp. 34-43, 2017

Online since:

Jun 2017

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Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

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