Non-Linear Approximation of Functions with Mixed Smoothness by Sets of Finite Pseudo-Dimension  

作　　者：Guang Gui CHEN Gen Sun FANG Yuan Long RUAN 

机构地区：[1]School of Mathematics and Computer Engineering, Xihua University, Chengdu 611930, P. R. China [2]School of Mathematical Science, Beijing Normal University, Beijing 100875, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第4期671-676,共6页数学学报（英文版）

基　　金：Project supported by the Natural Science Foundation of China(Grant No.10371009);Research Fund for the Doctoral Program of Higher Education(Grant No.20050027007);Key Project of Science and Technology Bureau of Sichuan Province

摘　　要：In this paper, the non-linear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the non-linear width on this class is determined.In this paper, the non-linear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the non-linear width on this class is determined.

关 键 词：pseudo-dimension non-linear width mixed smoothness 

分 类 号：O174[理学—数学]