On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space

被引:0
作者
M. R. Langarshoev
机构
[1] Tajikistan National University,
来源
Ukrainian Mathematical Journal | 2016年 / 67卷
关键词
Banach Space; Hardy Space; Bergman Space; Linear Continuous Operator; Weighted Bergman Space;
D O I
暂无
中图分类号
学科分类号
摘要
We find the exact values of the series of n-widths for the classes of functions from the Hardy and Bergman spaces whose averaged moduli of continuity are majorized by a given function obeying certain restrictions.
引用
收藏
页码:1537 / 1551
页数:14
相关论文
共 23 条
[1]  
Babenko KI(1958)On the best approximations of one class of analytic functions Izv. Akad. Nauk SSSR, Ser. Mat. 22 631-640
[2]  
Taikov LV(1963)On the best linear approximation methods for functions from the classes Usp. Mat. Nauk 18 183-189
[3]  
Taikov LV(1977) and Mat. Zametki 22 285-294
[4]  
Ainulloev N(1986)Widths of some classes of analytic functions Mat. Zametki 40 341-351
[5]  
Taikov LV(1990)The best (in Kolmogorov’s sense) approximation of the classes of functions analytic in the unit disk Usp. Mat. Nauk 45 197-198
[6]  
Farkov YA(1991)Widths of the Hardy and Bergman classes in a ball from ℂ J. Approxim. Theory 67 347-356
[7]  
Fisher SD(1995)The Mat. Zametki 57 21-27
[8]  
Stessin MI(1999)-width of the unit ball of Mat. Zametki 65 186-193
[9]  
Vakarchuk SB(2000)The best linear approximation methods and the widths of the classes of functions analytic in a disk Mat. Zametki 68 796-800
[10]  
Vakarchuk SB(2002)The best linear approximation methods and the widths of the classes of functions analytic in a disk Mat. Zametki 72 665-669