第三型伯恩斯坦插值过程的双结点修正
O174.41; In this work,the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step.An operator is constructed by revising double interpolation nodes.It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best.
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Veröffentlicht in: | 数学季刊(英文版) 2008, Vol.23 (4), p.559-564 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | chi |
Online-Zugang: | Volltext |
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Zusammenfassung: | O174.41; In this work,the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step.An operator is constructed by revising double interpolation nodes.It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best. |
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ISSN: | 1002-0462 |
DOI: | 10.3969/j.issn.1002-0462.2008.04.013 |