On saturation of one linear method for summing Fourier series given by a function set

A.M. Shutovskyi; Yu.I. Kharkevych

doi:10.15421/242508

On saturation of one linear method for summing Fourier series given by a function set

A.M. Shutovskyi (Lesya Ukrainka Volyn National University), https://orcid.org/0000-0001-7628-0078
Yu.I. Kharkevych (Lesya Ukrainka Volyn National University), https://orcid.org/0000-0002-8577-5096

Abstract

The paper considers the issues of saturation in the spaces $$$C$$$ and $$$L_p$$$, $$$p\in [1;\infty )$$$ of the biharmonic Poisson operator, in particular, the order and class of saturation are found.

Keywords

spaces of summable functions; functional classes; linear operators

MSC 2020

31A30; 41A36; 41A40

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