Saturation of the linear methods of summation of Fourier series in the spaces S pφ

Shydlich A. L.

Volume 71, № 11, 2019
(Current Issue)

2019

Том 71
№ 11

All Issues

Ukr. Mat. Zh.
Volume 60, № 6, 2008
pp. 815 – 828

Saturation of the linear methods of summation of Fourier series in the spaces S^p_φ

Shydlich A. L.

Full text (.pdf)

Abstract

We consider the problem of the saturation, in the spaces S^p_φ , of linear summation methods for Fourier series, which are determined by the sequences of functions defined on a subset of the space C. We obtain sufficient conditions for the saturation of such methods in these spaces.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 6, pp 950-966.

Citation Example: Shydlich A. L. Saturation of the linear methods of summation of Fourier series in the spaces S^p_φ // Ukr. Mat. Zh. - 2008. - 60, № 6. - pp. 815 – 828.

Full text