On the divergence of lacunary partial sums of orthogonal series with uniformly bounded functions
We verify that in a divergence theorem proved by L. Csernyák and the author the classical monotone decreasing assumption on the "blocksequence" can be weakened to locally almost monotone condition. Furthermore by means of the new result we improve a theorem pertaining to the divergence of...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-287-z |
| Online Access: | http://acta.bibl.u-szeged.hu/34487 |
| Tartalmi kivonat: | We verify that in a divergence theorem proved by L. Csernyák and the author the classical monotone decreasing assumption on the "blocksequence" can be weakened to locally almost monotone condition. Furthermore by means of the new result we improve a theorem pertaining to the divergence of the generalized de la Vallée-Poussin means. |
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| Terjedelem/Fizikai jellemzők: | 121-127 |
| ISSN: | 0001-6969 |