On the uniform convergence of trigonometric series

被引：16

作者：

Tikhonov, S. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 81卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

trigonometric series; uniform convergence; monotone (in the extended sense) sequence; lacunary sequence; quasimonotone sequence; Abel transformation;

D O I：

10.1134/S0001434607010294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain sufficient conditions for the uniform convergence of trigonometric series with monotone (in the extended sense) coefficients.

引用

页码：268 / 274

页数：7

共 50 条

[41] A condition for convergence in mean of trigonometric series
Belov, AS
[J]. MATHEMATICAL NOTES, 2001, 69 (3-4) : 293 - 297
[42] On the convergence (upper boundness) of trigonometric series
Krasniqi, Xhevat Z.
[J]. MATHEMATICAL COMMUNICATIONS, 2009, 14 (02) : 245 - 254
[43] The Best Convergence of Multiple Trigonometric Series
Rubinshtein, A. I.
[J]. RUSSIAN MATHEMATICS, 2008, 52 (05) : 72 - 79
[44] The absolute convergence of trigonometric series.
Denjoy, A
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1912, 155 : 135 - 136
[45] On the convergence of Fourier trigonometric series.
Lusin, N
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1913, 156 : 1655 - 1658
[46] On L-convergence of trigonometric series
Szal, Bogdan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 449 - 463
[47] MULTIPLIERS OF TRIGONOMETRIC SERIES AND POINTWISE CONVERGENCE
RIVIERE, NM
SAGHER, Y
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 140 (JUN) : 301 - &
[48] CONVERGENCE PROPERTIES OF SOME TRIGONOMETRIC SERIES
BONAMI, A
MEYER, Y
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (02): : 68 - &
[49] The best convergence of multiple trigonometric series
A. I. Rubinshtein
[J]. Russian Mathematics, 2008, 52 (5) : 72 - 79
[50] POINTWISE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES
CHEN, CP
HSIEH, PH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (02) : 582 - 599

← 1 2 3 4 5 →