Maximal-simultaneous Approximation Properties of Faber Series in Weighted Bergman Space

被引：0

作者：

Israfilov, D. M. ^{[1
,2
]}

Otarov, Kh. ^{[3
]}

机构：

[1] Balikesir Univ, Fac Sci & Letters, Dept Math, Balikesir, Turkiye

[2] Minist Sci & Educ, Inst Math & Mech, Baku, Azerbaijan

[3] K Zhubanov Aktobe Reg Univ, Phys & Math Fac, Dept Math, Aktobe, Kazakhstan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2025年 / 15卷 / 01期

关键词：

quasidisc; generalized Faber series; maximal convergence; simultaneous approximation; weighted Bergman spaces; CONVERGENCE; POLYNOMIALS; BOUNDARY; LEBESGUE; DOMAINS;

D O I：

10.59849/2218-6816.2025.1.128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, maximal-simultaneous approximation properties of generalized Faber series in weighted Bergman space, defined on bounded continuums of the complex plane, are studied. The error of this approximation in dependence of the best approximation number and the parameters of considered canonical domains is estimated.

引用

页码：128 / 143

页数：16

共 19 条

[1] Maximal-Simultaneous Approximation by Faber Series in Bergman Spaces
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[2] Approximation by generalized Faber series in Bergman spaces on finite regions with a quasiconformal boundary
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