Convergence of Fejer means of integrable functions with respect to weighted Walsh systems
It is well known that the Walsh functions form an orthonormal system on the unit interval. The weighted Walsh functions are also orthonormal with respect to some weight function. The almost everywhere convergence of the (C, 1) means of Walsh-Fourier series of integrable functions is an old result of...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-015-024-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/36286 |
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| 024 | 7 | |a http://dx.doi.org/10.14232/actasm-015-024-5 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Gát György | |
| 245 | 1 | 0 | |a Convergence of Fejer means of integrable functions with respect to weighted Walsh systems |h [elektronikus dokumentum] / |c Gát György |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2015 | ||
| 300 | |a 549-560 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 81 No. 3-4 | |
| 520 | 3 | |a It is well known that the Walsh functions form an orthonormal system on the unit interval. The weighted Walsh functions are also orthonormal with respect to some weight function. The almost everywhere convergence of the (C, 1) means of Walsh-Fourier series of integrable functions is an old result of Fine [2]. The main aim of this paper is to generalize this a.e. convergence relation with respect to weighted Walsh systems. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/36286/1/math_081_numb_003_004_549-560.pdf |z Dokumentum-elérés |