数学杂志2009，Vol.29Issue(3)：263-268,6.
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
AN ASYMPTOTIC RELATION BETWEEN THE BEST APPROXIMATION OF CLASS Wrp APPROXIMATED BY SUBSPACE FT2n-1⊕SΔrN AND ITS KOLMOGOROV-WIDTH
摘要
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.关键词
函数类/最佳逼近/渐近性质Key words
class of functions/ best approximation/ asymptotic property分类
数理科学引用本文复制引用
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):263-268,6.基金项目
Supported by National Natural Science Foundation of China(10371122) （10371122）
