2018
Том 70
№ 5

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

Shydlich A. L.

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 $S_{\varphi} ^p(X)$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 1, pp 166–172.

Citation Example: Shydlich A. L. On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ // Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 133-138.

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