On integrability of functions defined by Fourier series
The aim of the paper is to generalize two fundamental theorems of Boas. One of them deals with conditional integrability, another proves pth power integrability. Both theorems consider Fourier series with nonnegative coefficients and classical weight x1. The weight functions in our theorems are more...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2008
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| Sorozat: | Acta scientiarum mathematicarum
74 No. 3-4 |
| Kulcsszavak: | Matematika, Fourier-sor |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16257 |
| Tartalmi kivonat: | The aim of the paper is to generalize two fundamental theorems of Boas. One of them deals with conditional integrability, another proves pth power integrability. Both theorems consider Fourier series with nonnegative coefficients and classical weight x1. The weight functions in our theorems are more general, they merely have /3-power-monotone properties. |
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| Terjedelem/Fizikai jellemzők: | 565-580 |
| ISSN: | 0001-6969 |