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

被引：0
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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;
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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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