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

  • A. L. Shydlich

Abstract

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 $S_{\varphi} ^p(X)$.
Published
25.01.2004
How to Cite
ShydlichA. L. “On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 1, Jan. 2004, pp. 133-8, https://umj.imath.kiev.ua/index.php/umj/article/view/3736.
Section
Short communications