Strong approximation by Marcinkiewicz means of two-dimensional Walsh–Kaczmarz–Fourier series

被引：0
作者：
U. Goginava
K. Nagy
机构：
[1] Tbilisi State University,Department of Mathematics, Faculty of Exact and Natural Sciences
[2] University of Nyíregyháza,Institute of Mathematics and Computer Sciences
来源：
Analysis Mathematica | 2016年 / 42卷
关键词：
Walsh–Kaczmarz function; strong approximation; Marcinkiewicz mean; 42C10;
D O I：
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学科分类号：
摘要：
In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh–Kaczmarz–Fourier series. In particular, it is proved that the Marcinkiewicz type of two-dimensional Walsh–Kaczmarz–Fourier series of every continuous function f is uniformly strong summable to the function f exponentially in the power 1/2. Moreover, it is proved that this result is the best possible.
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页码：143 / 157
页数：14
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共 46 条
[31]   Embedding results pertaining to strong approximation of Fourier series. VI [J].
Leindler, Laszio .
ANALYSIS MATHEMATICA, 2008, 34 (01) :39-49
[32]   Embedding results pertaining to strong approximation of Fourier series. IV [J].
Leindler L. .
Analysis Mathematica, 2005, 31 (3) :175-182
[33]   Pointwise (H, Φ) Strong Approximation by Fourier Series of LΨ Integrable Functions [J].
Lenski, Wlodzimierz .
TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (01) :1-9
[34]   Embedding results pertaining to strong approximation of Fourier series. V [J].
Leindler L. .
Analysis Mathematica, 2007, 33 (2) :113-121
[35]   Embedding results pertaining to strong approximation of fourier series. IIРеэулятаты о влозениях, относяшихся к силянои аппроксимации рядами Фуряе. II [J].
L. Leindler ;
Л. Леиндлер .
Analysis Mathematica, 1997, 23 (1) :223-240
[36]   Embedding results pertaining to strong approximation of Fourier series. VIТеоремы вложения в терминах сильной аппроксимации рядом Фурье. VI [J].
László Leindler .
Analysis Mathematica, 2008, 34 :39-49
[37]   Embedding results pertaining to strong approximation of fourier series. IIIРеэулятаты о влозениях, касаушиеся силянои аппроксимации рядами Фуряе. III [J].
L. Leindler ;
Л. Леиндлер .
Analysis Mathematica, 1997, 23 (1) :273-281
[38]   Embedding results pertaining to strong approximation of fourier series. IРеэулятаты о влозениях, относяшихся к строгои аппроксимации рядами Фуряе. I [J].
L. Leindler ;
Л. Леиндлер .
Analysis Mathematica, 1997, 23 (1) :99-114
[39]   The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and H?lder Metrics [J].
T.V.Iofina ;
S.S.Volosivets .
Analysis in Theory and Applications, 2015, 31 (01) :1-12
[40]   Strong approximation by Fourier-Laplace series on the unit sphere Sn-1 [J].
Brown, G ;
Dai, F ;
Móricz, F .
ACTA MATHEMATICA HUNGARICA, 2004, 102 (1-2) :91-115
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