| 用样条逼近Sobolev函数类W_p~1(R)的逼近误差 |
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| 引用本文： | 肖维维,马丽霞.用样条逼近Sobolev函数类W_p~1(R)的逼近误差[J].数学的实践与认识,2011,41(6). |
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| 作者姓名： | 肖维维 马丽霞 |
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| 作者单位： | 北方工业大学,理学院数学系,北京,100144 |
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| 基金项目： | 国家自然科学基金，北京师范大学"985"工程资助项目，北京市自然科学基金 |
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| 摘 要： | 作者研究了定义在全实轴上的Sobolev函数类W_p~1(R)的逼近问题.以一次样条函数作为逼近工具,给出了p=1和p=∞时的逼近误差.
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| 关 键 词： | Sobolev函数类 样条 逼近误差 |
The Approximation Error of Sobolev Classes Wp1(R) Approximated by Spline Functions |
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| XIAO Wei-wei,MA Li-xia.The Approximation Error of Sobolev Classes Wp1(R) Approximated by Spline Functions[J].Mathematics in Practice and Theory,2011,41(6). |
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| Authors: | XIAO Wei-wei MA Li-xia |
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| Abstract: | The approximation problem in Sobolev classes W_p~1(R) defined on the real line was studied.The approximation tool is the polynomial spline of degree 1 with notes {k/n}k∈z. The approximation error was studied when p = 1 and p =∞. |
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| Keywords: | Sobolev classes spline functions approximation error |
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