@article{shabozov2017,
author = {Shabozov, Mirgand Sh. and Saidusaynov, Mukim S.},
title = {Mean-Square Approximation of Complex Variable Functions by Fourier Series in the Weighted Bergman Space},
year = {2017},
month = {6},
volume = {9},
pages = {34--43},
journal = {International Journal of Advanced Research in Mathematics},
doi = {10.18052/www.scipress.com/IJARM.9.34},
keywords = {Weighted Bergman Space, Generalized Displacement Operator, Generalized Module of Continuity},
abstract = {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 $\gamma$: = $\gamma$(|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.}
}