Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone
We introduce a new concept of Lebesgue points, the so-called ωLebesgue points, where ω > 0. As a generalization of the classical Lebesgue’s theorem, we prove that the Cesàro means σ a nf of the Fourier series of a multidimensional function f ∈ L1(T d ) converge to f at each ω-Lebesgue point (0 &l...
Elmentve itt :
| Szerző: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 3-4 |
| Kulcsszavak: | Fourier-sor, Lebesgue integrál, Analízis - matematikai |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-021-614-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/75852 |
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| 024 | 7 | |a 10.14232/actasm-021-614-3 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Weisz Ferenc | |
| 245 | 1 | 0 | |a Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone |h [elektronikus dokumentum] / |c Weisz Ferenc |
| 260 | |c 2021 | ||
| 300 | |a 505-515 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 87 No. 3-4 | |
| 520 | 3 | |a We introduce a new concept of Lebesgue points, the so-called ωLebesgue points, where ω > 0. As a generalization of the classical Lebesgue’s theorem, we prove that the Cesàro means σ a nf of the Fourier series of a multidimensional function f ∈ L1(T d ) converge to f at each ω-Lebesgue point (0 < ω < α) as n → ∞. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Fourier-sor, Lebesgue integrál, Analízis - matematikai | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/75852/1/math_087_numb_003-004_505-515.pdf |z Dokumentum-elérés |