On the Best Approximation in the Mean of Functions of a Complex Variable by Fourier Series in the Bergman Space

被引：0
|
作者：
M. Sh. Shabozov
Kh. M. Khuromonov
机构：
[1] Tajik National University,
来源：
Russian Mathematics | 2020年 / 64卷
关键词：
supremum; module of continuity; Jacks on-Stechkin inequality; n-widths; -functional;
D O I：
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学科分类号：
摘要：
In a simply connected domain of the complex plane, we consider the problem of mean-square approximation of analytic functions by Fourier series in orthogonal systems. For some classes of functions analytic in the unit disk, the supremums of mean-square approximation given by special modules of continuity are found.
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页码：66 / 83
页数：17
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