Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points

Weisz, Ferenc

Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points

FERENC WEISZ (EÖTVÖS L. UNIVERSITY DEPARTMENT OF NUMERICAL ANALYSIS H-1117 BUDAPEST, PÁZMÁNY P. SÉTÁNY 1/C., HUNGARY)

Constructive mathematical analysis (Online)

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Yıl: 2021 Cilt: 4 Sayı: 2 Sayfa Aralığı: 179 - 185 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points

Öz:

We generalize the classical Lebesgue’s theorem to multi-dimensional functions. We prove that theCesàro means of the Fourier series of the multi-dimensional function f ∈ L1(log L)d−1(Td) ⊃ Lp(Td) (1 < p ≤ ∞)converge to f at each strong Lebesgue point.

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APA	Weisz F (2021). Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. , 179 - 185.
Chicago	Weisz Ferenc Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. (2021): 179 - 185.
MLA	Weisz Ferenc Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. , 2021, ss.179 - 185.
AMA	Weisz F Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. . 2021; 179 - 185.
Vancouver	Weisz F Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. . 2021; 179 - 185.
IEEE	Weisz F "Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points." , ss.179 - 185, 2021.
ISNAD	Weisz, Ferenc. "Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points". (2021), 179-185.

APA	Weisz F (2021). Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. Constructive mathematical analysis (Online), 4(2), 179 - 185.
Chicago	Weisz Ferenc Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. Constructive mathematical analysis (Online) 4, no.2 (2021): 179 - 185.
MLA	Weisz Ferenc Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. Constructive mathematical analysis (Online), vol.4, no.2, 2021, ss.179 - 185.
AMA	Weisz F Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. Constructive mathematical analysis (Online). 2021; 4(2): 179 - 185.
Vancouver	Weisz F Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points. Constructive mathematical analysis (Online). 2021; 4(2): 179 - 185.
IEEE	Weisz F "Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points." Constructive mathematical analysis (Online), 4, ss.179 - 185, 2021.
ISNAD	Weisz, Ferenc. "Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points". Constructive mathematical analysis (Online) 4/2 (2021), 179-185.