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// Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
// Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.,
2021
Volume 198,
Pages
96–102
(Mi into879)
On points of strong summability of trigonometric integrals
N. L. Pachulia
Abkhazian State University
Abstract:
In this paper, we prove the
$\varphi$
-strong Vallée-Poussin summability of the Fourier integral of a function
$f\in L_{p}$
,
$p>1$
, at its Lebesgue
$p$
-point.
Keywords:
Fourier series, Fourier integral, Fourier transformation, strong summability.
UDC:
517.5
MSC:
42A24
,
42B05
DOI:
10.36535/0233-6723-2021-198-96-102
Fulltext:
PDF file (203 kB)
References
©
Steklov Math. Inst. of RAS
, 2024