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

来源：

SBORNIK MATHEMATICS | 2024年 / 215卷 / 01期

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

页码：74 / 89

页数：16

共 27 条

[1]

[Anonymous], 1954, Uspekhi Mat. Nauk

[2] Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness [J].

Dirksen, Sjoerd ;

Ullrich, Tino .

JOURNAL OF COMPLEXITY, 2018, 48 :69-102

[3]

Galeev E. M, 1986, Theory of functions and its applications (Moscow State University 1985), P17

[4]

[Галеев Эльфат Михайлович Galeev Elfat M.], 2011, [Владикавказский математический журнал, Vladikavkazskii matematicheskii zhurnal], V13, P3

[5] Kolmogorov n-width of some finite-dimensional sets in a mixed measure [J].

Galeev, EM .

MATHEMATICAL NOTES, 1995, 58 (1-2) :774-778

[6] THE KOLMOGOROV DIAMETER OF THE INTERSECTION OF CLASSES OF PERIODIC-FUNCTIONS AND OF FINITE-DIMENSIONAL SETS [J].

GALEEV, EM .

MATHEMATICAL NOTES, 1981, 29 (5-6) :382-388

[7]

GALEEV EM, 1990, MATH USSR IZV+, V54, P435

[8]

Garnaev AndrejY., 1984, Soviet Mathematics Doklady, V30, P200

[9]

GLUSKIN ED, 1983, MATH USSR SB+, V120, P173

[10]

GLUSKIN ED, 1981, VESTN S-P UNIV SER 7, P5

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