用子空间F_(2n-1)~TS_(Δ_N^r)逼近函数类W_p^r的最佳逼近度与其K-宽度之间的渐近关系(英文)  

AN ASYMPTOTIC RELATION BETWEEN THE BEST APPROXIMATION OF CLASS W_p^r APPROXIMATED BY SUBSPACE F_(2n-1)~TS_(Δ_N^r) AND ITS KOLMOGOROV-WIDTH

作　　者：刘清国[1] 魏文斌[2] 李莎澜[1] 

机构地区：[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

出　　处：《数学杂志》2009年第3期263-268,共6页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(10371122)

摘　　要：本文研究了用子空间F_(2n-1)~TS_(Δ_N^r)逼近函数类Wrp的最佳逼近度与其K-宽度之间的关系.利用Kol mogorov-宽度的概念和Kol mogorov比较定理,获得了其最佳逼近度与其Kol mogorov-宽度之间的渐进性质,推广了用子空间F2Tn-1S_(Δ_N^r)逼近函数类Wrp的最佳逼近度的有关结论.In this paper, we study the relation between the best approximation of the r T function class WP^r approximated by the subspaee F2n^T-1＋S△N 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 WP^r approximated by the subspace F2n^T-1＋S△N.

关 键 词：函数类 最佳逼近 渐近性质 

分 类 号：O174.41[理学—数学]