| 多元Bernstein—Sikkema算子的逼近性质 |
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| 引用本文： | 李松.多元Bernstein—Sikkema算子的逼近性质[J].应用数学学报,1997,20(1):47-60. |
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| 作者姓名： | 李松 |
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| 作者单位： | 浙江大学应用数学系!杭州，310027 |
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| 摘 要： | 本文对定义在单形上的Ｂｅｒｎｓｔｅｉｎ－Ｓｉｋｋｅｍａ算子讨论其导数的收敛性质，同时出给出了高阶渐近展开式及Ｂｅｓｏｖ空间中的几个等价关系。
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| 关 键 词： | 渐近展开式 B－S算子 逼近性质 多元B－S算子 |
THE APPROXIMAION PROPERTIES FOR MULTIDIMENSIONAL BERNSTEIN-SIKKEMA OPERATORS |
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| LI SONG.THE APPROXIMAION PROPERTIES FOR MULTIDIMENSIONAL BERNSTEIN-SIKKEMA OPERATORS[J].Acta Mathematicae Applicatae Sinica,1997,20(1):47-60. |
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| Authors: | LI SONG |
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| Abstract: | In this paper, we study the convergence of derivatives for Bernstein-Sikkemaoperators on a simplex. Sometime, we also give its asymptote expansion. At last, relationsbetween ||Cnf - f|| and En(f) will be given by weak inequalities. Where Cn(f) isBernsteinSikkema operators on a simplex. |
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| Keywords: | Bernstein-Sikkema operators asymptote expansion K-functional |
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