2017
Том 69
№ 9

All Issues

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

Shydlich A. L.

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Abstract

We consider the problem of the saturation, in the spaces S pφ , 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 pφ // Ukr. Mat. Zh. - 2008. - 60, № 6. - pp. 815 – 828.

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