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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 198, Pages 96–102
DOI: https://doi.org/10.36535/0233-6723-2021-198-96-102 (Mi into879) 		 
On points of strong summability of trigonometric integrals

N. L. Pachulia

Abkhazian State University
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DOI: https://doi.org/10.36535/0233-6723-2021-198-96-102
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.
Document Type: Article
UDC: 517.5
MSC: 42A24, 42B05
Language: Russian
Citation: N. L. Pachulia, “On points of strong summability of trigonometric integrals”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 96–102
Citation in format AMSBIB
\Bibitem{Pac21}
\by N.~L.~Pachulia
\paper On points of strong summability of trigonometric integrals
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 198
\pages 96--102
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into879}
\crossref{https://doi.org/10.36535/0233-6723-2021-198-96-102}
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