On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$

• Date: 2004
• Main Authors: Shydlich, A. L., Шидліч, А. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3736
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the problem of the saturation of linear summation methods for Fourier series in the spaces $S_{\varphi} ^p,\; р > 0$. We show that the saturation of a linear method and the saturation order are independent of the parameters $X, ϕ$, and p that define the space $S_{\varphi} ^p(X)$...