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

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.

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Publication Details

Journal
Researches in Mathematics
Published
2025-08-11
DOI
https://doi.org/10.15421/242508
Citations
2
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
7.38
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article

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

A. M. Shutovskyi, Yu. I. Kharkevych
2 citations
Researches in Mathematics
advanced mathematical theories
7.38
article

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

A. M. Shutovskyi, Yu. I. Kharkevych
article en
2 citations

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.

Researches in MathematicsVol. 33(1)
Lesya Ukrainka Volyn National University (UA)
Openalex Percentile: Top 3%
advanced mathematical theories
7.38
DOIOpen Access PDFOpenAlex
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On saturation of one linear method for summing Fourier series given by a function set — A. M. Shutovskyi, Yu. I. Kharkevych · Researches in Mathematics (2025) | TGRS Research Map | TGRS