ON CONVERGENCE OF GREEDY APPROXIMATIONS FOR THE TRIGONOMETRIC SYSTEM

被引：0

|

作者：

Konyagin, Sergei V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2007年 / 1卷 / 02期

关键词：

Trigonometric Fourier series; greedy approximation;

D O I：

10.15352/bjma/1240336217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we discuss the convergence of greedy approximants for trigonometric Fourier expansion in L(p)(T), 1 <= p < 2.

引用

收藏

页码：208 / 211

页数：4

相关论文

共 50 条

[41] The convergence of the conjugated trigonometric series
Priwaloff, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1917, 165 : 96 - 99
[42] Rate of Convergence of Greedy Algorithms
A. V. Sil'nichenko
Mathematical Notes, 2004, 76 : 582 - 586
[43] Greedy algorithm and m-term trigonometric approximation
Temlyakov, VN
CONSTRUCTIVE APPROXIMATION, 1998, 14 (04) : 569 - 587
[44] L1-CONVERGENCE OF GREEDY ALGORITHM BY GENERALIZED WALSH SYSTEM
Episkoposian, Sergo A.
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (01): : 161 - 174
[45] Rate of convergence of greedy algorithms
Sil'nichenko, AV
MATHEMATICAL NOTES, 2004, 76 (3-4) : 582 - 586
[46] On convergence of greedy algorithm by Walsh system in the space C(0, 1)
G. Amirkhanyan
Journal of Contemporary Mathematical Analysis, 2008, 43
[47] Comparison of the convergence rate of pure greedy and orthogonal greedy algorithms
Dereventsov, A. V.
MATHEMATICAL NOTES, 2012, 92 (3-4) : 485 - 489
[48] On the bestm-term trigonometric and orthogonal trigonometric approximations of functions from the classesLΨβ,ρ
A. S. Fedorenko
Ukrainian Mathematical Journal, 1999, 51 (12) : 1945 - 1949
[49] Comparison of the convergence rate of pure greedy and orthogonal greedy algorithms
A. V. Dereventsov
Mathematical Notes, 2012, 92 : 485 - 489
[50] Trigonometric approximations for the computation of radar cross sections
Borzì, G
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2004, 52 (06) : 1596 - 1602

← 1 2 3 4 5 →