| 用子空间FT2n-1⊕SΔrN 逼近函数类Wrp 的最佳逼近度与其K-宽度之间的渐近关系 |
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| 引用本文： | 刘清国,魏文斌,李莎澜.用子空间FT2n-1⊕SΔrN 逼近函数类Wrp 的最佳逼近度与其K-宽度之间的渐近关系[J].数学杂志,2009,29(3). |
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| 作者姓名： | 刘清国 魏文斌 李莎澜 |
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| 作者单位： | 1. 空军雷达学院,基础部,湖北武汉,430019
2. 空军雷达学院,四系,湖北武汉,430019 |
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| 摘 要： | 本文研究了用子空间FT2n-1⊕SΔrN 逼近函数类Wrp的最佳逼近度与其K-宽度之间的关系.利用Kolmogorov-宽度的概念和Kolmogorov比较定理,获得了其最佳逼近度与其Kolmogorov-宽度之间的渐进性质,推广了用子空间FT2n-1⊕SΔrN 逼近函数类Wrp 的最佳逼近度的有关结论.
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| 关 键 词： | 函数类 最佳逼近 渐近性质 |
AN ASYMPTOTIC RELATION BETWEEN THE BEST APPROXIMATION OF CLASS Wrp APPROXIMATED BY SUBSPACE FT2n-1⊕SΔrN AND ITS KOLMOGOROV-WIDTH |
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| LIU Qing-guo,WEI Wen-bin,LI Sha-lan.AN ASYMPTOTIC RELATION BETWEEN THE BEST APPROXIMATION OF CLASS Wrp APPROXIMATED BY SUBSPACE FT2n-1⊕SΔrN AND ITS KOLMOGOROV-WIDTH[J].Journal of Mathematics,2009,29(3). |
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| Authors: | LIU Qing-guo WEI Wen-bin LI Sha-lan |
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| Abstract: | In this paper, we study the relation between the best approximation of the function class Wrp approximated by the subspace FT2n-1⊕S△rN. and its Kolmogorov-width.By the definition of Kolmogorov-width and Kolmogorov comparative theorem, we obtain the asymptotic property between the best approximation and its Kolmogorov-width and push forward some relative results about the best approximation of the function class Wrp approximated by the subspace FT2n-1⊕S△rN. |
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| Keywords: | class of functions best approximation asymptotic property |
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