Estimates for the Kolmogorov widths of an intersection of two balls in a mixed norm

被引:3
作者
Vasil'eva, Anastasia A. [1 ,2 ]
机构
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
Kolmogorov widths; intersection of finite-dimensional balls; FINITE-DIMENSIONAL SETS; PERIODIC-FUNCTIONS; NUMBERS; SPACES;
D O I
10.4213/sm9877e
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Order estimates are obtained for the Kolmogorov widths of intersections of two finite-dimensional balls in the mixed norm under certain conditions on parameters.
引用
收藏
页码:74 / 89
页数:16
相关论文
共 27 条
[21]  
TIKHOMIROV VM, 1990, ENCYCL MATH SCI, V14, P93, DOI DOI 10.1007/978-3-642-61267-1_2
[22]  
TIKHOMIROV VM, 1976, SOME QUESTIONS APPRO
[23]  
Triebel H., 2019, EMS Series of Lectures in Mathematics
[24]   Kolmogorov widths of an intersection of a finite family of Sobolev classes [J].
Vasil'eva, A. A. .
IZVESTIYA MATHEMATICS, 2024, 88 (01) :18-42
[25]   Kolmogorov Widths of the Intersection of Two Finite-Dimensional Balls in a Mixed Norm [J].
Vasil'eva, A. A. .
MATHEMATICAL NOTES, 2023, 113 (3-4) :584-586
[26]   Kolmogorov widths of intersections of finite-dimensional balls [J].
Vasil'eva, A. A. .
JOURNAL OF COMPLEXITY, 2022, 72
[27]   Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin [J].
Vasil'eva, A. A. .
JOURNAL OF APPROXIMATION THEORY, 2013, 167 :1-41