Weisz Ferenc: Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone. In: Acta scientiarum mathematicarum, (87) 3-4. pp. 505-515. (2021)
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Abstract
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 → ∞.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2021 |
| Volume: | 87 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 505-515 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/75796/ |
| DOI: | 10.14232/actasm-021-614-3 |
| Uncontrolled Keywords: | Fourier-sor, Lebesgue integrál, Analízis - matematikai |
| Additional Information: | Bibliogr.: p. 513-515. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. May. 24. 12:31 |
| Last Modified: | 2022. May. 24. 13:02 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/75852 |
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