Estimates for Approximation Characteristics of the Besov Classes \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$B_{p,\theta }^r $$ \end{document} of Periodic Functions of Many Variables in the Space Lq. II

被引:0
作者
A. S. Romanyuk
机构
[1] Ukrainian Academy of Sciences,Institute of Mathematics
关键词
Linear Operator; Periodic Function; Orthogonal Projection; Order Estimate; Approximation Characteristic;
D O I
10.1023/A:1015200128349
中图分类号
学科分类号
摘要
We obtain order estimates for the approximation of the classes \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$B_{p,\theta }^r $$ \end{document} of periodic functions of many variables in the space Lq by using operators of orthogonal projection and linear operators satisfying certain conditions.
引用
收藏
页码:1703 / 1711
页数:8
相关论文
共 4 条
  • [1] Romanyuk A. S.(2001)Estimates for approximation characteristics of the Besov classes Ukr. Mat. Zh. 53 1224-1231
  • [2] Romanyuk A. S.(1991),θ of periodic functions of many variables in the space Ukr. Mat. Zh. 43 1398-1408
  • [3] Temlyakov V. N.(1989). I Tr. Mat. Inst. Akad. Nauk SSSR 189 138-168
  • [4] Temlyakov V. N.(1986)Approximation of Besov classes of periodic functions of many variables in the space Tr. Mat. Inst. Akad. Nauk SSSR 178 1-112