TY - JOUR
T1 - Mean-Square Approximation of Complex Variable Functions by Fourier Series in the Weighted Bergman Space
AU - Shabozov, Mirgand Sh.
AU - Saidusaynov, Mukim S.
JF - International Journal of Advanced Research in Mathematics
VL - 9
SP - 34
EP - 43
SN - 2297-6213
PY - 2017
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/IJARM.9.34
UR - https://localhost:44305/IJARM.9.34
KW - Generalized Displacement Operator
KW - Generalized Module of Continuity
KW - Weighted Bergman Space
AB - 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.
ER -