Approximation by Norlund means of quadratical partial sums of double Walsh - Kaczmarz - Fourier series

We discuss the Norlund means of quadratic partial sums of the Walsh – Kaczmarz – Fourier series of a function in $L_p$. We investigate the rate of approximation by this means, in particular, in $\text{Lip}(\alpha , p)$, where $\alpha > 0$ and $1 \leq p \leq \infty$. For $p = \infty$, by $L...

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Bibliographic Details
Date:2016
Main Authors: Nagy, K., Нагі, К.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1824
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal