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
Hauptverfasser: 常玉宝, 魏平, 袁学刚
Format: Artikel
Sprache:chi
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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.
ISSN:1002-0462
DOI:10.3969/j.issn.1002-0462.2008.04.013