| 第三型伯恩斯坦插值过程的双结点修正 |
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| 引用本文： | 常玉宝,魏平,袁学刚.第三型伯恩斯坦插值过程的双结点修正[J].数学季刊,2008,23(4). |
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| 作者姓名： | 常玉宝 魏平 袁学刚 |
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| 作者单位： | [1]Department of Mathematics, Baicheng Teacher＇s College, Baicheng 137000, China [2]Department of Mathematics and Information Science, Yantai University, Yantai 264005, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10626045) |
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| 摘 要： |
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| 关 键 词： | 第三型伯恩斯坦插值过程 双结点修正 近似值 数学分析 |
On Double Revised Nodes of S N Bernstein Interpolation Process of the Third Type |
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| CHANG Yu-bao,WEI Ping,YUAN Xue-gang.On Double Revised Nodes of S N Bernstein Interpolation Process of the Third Type[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | CHANG Yu-bao WEI Ping YUAN Xue-gang |
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| Institution: | 1.Department of Mathematics;Baicheng Teacher's College;Baicheng 137000;China;2.Department of Mathematics and Information Science;Yantai University;Yantai 264005;China |
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| Abstract: | 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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| Keywords: | interpolation polynomial uniform convergence the highest convergence order S N Bernstein problem |
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