On points of strong summability of trigonometric integrals
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 96-102
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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, strong summability.
Mots-clés : Fourier transformation
Mots-clés : Fourier transformation
@article{INTO_2021_198_a10,
author = {N. L. Pachulia},
title = {On points of strong summability of trigonometric integrals},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {96--102},
publisher = {mathdoc},
volume = {198},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2021_198_a10/}
}
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%0 Journal Article %A N. L. Pachulia %T On points of strong summability of trigonometric integrals %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2021 %P 96-102 %V 198 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2021_198_a10/ %G ru %F INTO_2021_198_a10
N. L. Pachulia. On points of strong summability of trigonometric integrals. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 96-102. http://geodesic.mathdoc.fr/item/INTO_2021_198_a10/