Approximating Characteristics of the Classes Lβ,pψ of Periodic Functions in the Space Lq

被引：0
作者：
V. V. Shkapa
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2016年 / 67卷
关键词：
Periodic Function; English Translation; Trigonometric Polynomial; Ukrainian National Academy; Mixed Derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain the exact-order estimates of the best m-term and orthogonal trigonometric approximations and establish the order of trigonometric widths for the classes Lβ,pψ in the space Lq for some relations between the parameters p and q.
引用
收藏
页码：1283 / 1295
页数：12
相关论文
共 7 条
  • [1] Stechkin SB(1955)On the absolute convergence of orthogonal series Dokl. Akad. Nauk SSSR 102 37-40
  • [2] Ismagilov RS(1974)Widths of the sets in linear normed spaces and the approximation of functions by trigonometric polynomials Usp. Mat. Nauk 29 161-178
  • [3] Temlyakov VN(1984)On the approximation of periodic functions of many variables Dokl. Akad. Nauk SSSR 279 301-305
  • [4] Belinskii ÉS(1987)Approximation by a ‘floating’ system of exponents on the classes of periodic smooth functions Tr. Mat. Inst. Akad. Nauk SSSR 180 46-47
  • [5] Romanyuk AS(2003)Best Izv. Ros. Akad. Nauk, Ser. Mat. 67 61-100
  • [6] Romanyuk AS(2002)-term trigonometric approximations of the Besov classes of periodic functions of many variables Mat. Zametki 71 109-121
  • [7] Belinskii ÉS(1987)Approximations of the classes of periodic functions of many variables Mat. Sb. 132 20-27
1