Exact values of widths of classes of analytic functions on the disk and best linear approximation methods

被引:8
作者
Vakarchuk, SB [1 ]
机构
[1] Customs Acad Ukraine, Dnepropetrovsk, Ukraine
关键词
hardy space; analytic functions on the unit disk; linear; Gelfand; Kolmogorov; and informational n-width of classes of functions; modulus of continuity;
D O I
10.1023/A:1021496620022
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the Hardy space H-p,H-p (p greater than or equal to 1, 0 less than or equal to rho less than or equal to 1, H-p,H-1 equivalent to H-p) we develop best linear approximation methods (previously studied by Taikov and Ainulloev) for the classes W(r, Phi, mu) of analytic functions on the unit disk and calculate the exact values of linear, Gelfand, and informational n-widths of these classes.
引用
收藏
页码:615 / 619
页数:5
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