Improvement of convergence rate for the Móricz process
In 2003, F. Móricz proved that the jumps of a periodic function at its simple discontinuities can be determined by its conjugate Abel-Poisson mean. Later Q. L. Shi and X. L. Shi introduced the concentration factors method of Abel-Poisson type and established a criterion for functions that satisfied...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16360 |
| Tartalmi kivonat: | In 2003, F. Móricz proved that the jumps of a periodic function at its simple discontinuities can be determined by its conjugate Abel-Poisson mean. Later Q. L. Shi and X. L. Shi introduced the concentration factors method of Abel-Poisson type and established a criterion for functions that satisfied a condition of Dini type. For piecewise smooth functions the convergence rate of this method is usually faster then Móricz Process. In this paper we establish a new criterion for concentration factors without the condition of Dini type. |
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| Terjedelem/Fizikai jellemzők: | 471-486 |
| ISSN: | 0001-6969 |