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

• Datum: 2016
• Hauptverfasser: Nagy, K., Нагі, К.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1824
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...