Near best approximation property of interpolation and Poisson polynomials in weighted variable exponent Smirnov classes

被引：0

作者：

Testici, Ahmet ^{[1
]}

Israfilov, Daniyal ^{[1
,2
]}

机构：

[1] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkiye

[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, 9 Vahabzade St, AZ-1141 Baku, Azerbaijan

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 01期

关键词：

interpolating polynomials; Faber polynomials; weighted variable exponent Smirnov classes; Poisson polynomials; near the best approximation; LAURENT RATIONAL FUNCTIONS; LEBESGUE SPACES; THEOREMS;

D O I：

10.15672/hujms.1176919

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a bounded Jordan domain in the complex plane C . In this work under some restrictions of G the near best approximation property of complex interpolation and Poisson polynomials based on the Faber polynomials of G in the weighted variable exponent Smirnov classes E p( ' ) omega ( G ) are proved.

引用

页码：62 / 73

页数：12

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