Cesaro means with varying parameters of Walsh-Fourier series

被引：1

作者：

Gat, Gyorgy ^{[1
]}

Goginava, Ushangi ^{[2
]}

机构：

[1] Univ Debrecen, Inst Math, Pf 400, H-4002 Debrecen, Hungary

[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

来源：

PERIODICA MATHEMATICA HUNGARICA | 2023年 / 87卷 / 01期

关键词：

Walsh-Fourier series; Cesaro means; Convergence in norm; NORLUND LOGARITHMIC MEANS; EVERYWHERE CONVERGENCE; APPROXIMATION; SUBSEQUENCES; UNIFORM;

D O I：

10.1007/s10998-022-00499-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss some convergence and divergence properties of subsequences of Cesaro means with varying parameters of Walsh-Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation of numbers.

引用

页码：57 / 74

页数：18

共 50 条

[31] Maximal operators of Fejer means of double Walsh-Fourier series
Goginava, U.
[J]. ACTA MATHEMATICA HUNGARICA, 2007, 115 (04) : 333 - 340
[32] On the Divergence of N(?)rlund Logarithmic Means of Walsh-Fourier Series
Gyrgy GAT
Ushangi GOGINAVA
[J]. Acta Mathematica Sinica,English Series, 2009, 25 (06) : 903 - 916
[33] On the divergence of the (C, 1) means of double Walsh-Fourier series
Gát, G
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) : 1711 - 1720
[34] APPROXIMATION PROPERTIES OF (C, α) MEANS OF DOUBLE WALSH-FOURIER SERIES
Ushangi Goginava
[J]. Analysis in Theory and Applications, 2004, (01) : 77 - 98
[35] Maximal operators of Fejér means of double Walsh-Fourier series
U. Goginava
[J]. Acta Mathematica Hungarica, 2007, 115 : 333 - 340
[36] Convergence of subsequences of partial sums and logarithmic means of Walsh-Fourier series
Goginava, U.
Tkebuchava, G.
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2006, 72 (1-2): : 159 - 177
[37] MULTIPLIERS FOR NONCOMMUTATIVE WALSH-FOURIER SERIES
Wu, Lian
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (03) : 1073 - 1085
[38] On the convergence of lacunary Walsh-Fourier series
Do, Yen Q.
Lacey, Michael T.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 : 241 - 254
[39] Uniform and L-convergence of Logarithmic Means of Walsh-Fourier Series
G.GáT
U.GOGINAVA
[J]. Acta Mathematica Sinica,English Series, 2006, 22 (02) : 497 - 506
[40] ON UNIFORM CONVERGENCE FOR WALSH-FOURIER SERIES
ONNEWEER, CW
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1970, 34 (01) : 117 - &

← 1 2 3 4 5 →