Walsh-Fourier series with coefficients of generalized bounded variation

被引：0

作者：

Rhoades, B. E. ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2008年 / 74卷 / 3-4期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a Tauberian theorem for a class of regular lower triangular matrices operating on Walsh- Fourier series for functions f is an element of L-1( 0, 1). As corollaries we obtain Tauberian theorems for weighted mean, Norlund, and Hausdorff matrices.

引用

页码：609 / 614

页数：6

共 50 条

[21] MULTIPLIERS FOR NONCOMMUTATIVE WALSH-FOURIER SERIES
Wu, Lian
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (03) : 1073 - 1085
[22] On the Uniform Convergence of Walsh-Fourier Series
U. Goginava
[J]. Acta Mathematica Hungarica, 2001, 93 : 59 - 70
[23] ON UNIFORM CONVERGENCE FOR WALSH-FOURIER SERIES
ONNEWEER, CW
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1970, 34 (01) : 117 - &
[24] CONVERGENCE OF DOUBLE FOURIER-SERIES WITH COEFFICIENTS OF GENERALIZED BOUNDED VARIATION
MORICZ, F
WATERMAN, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (01) : 34 - 49
[25] On the uniform convergence of Walsh-Fourier series
Goginava, U
[J]. ACTA MATHEMATICA HUNGARICA, 2001, 93 (1-2) : 59 - 70
[26] ON THE PARTIAL SUMS OF WALSH-FOURIER SERIES
Tephnadze, George
[J]. COLLOQUIUM MATHEMATICUM, 2015, 141 (02) : 227 - 242
[27] ON BOUNDEDLY DIVERGENT WALSH-FOURIER SERIES
SCHIPP, F
[J]. ACTA MATHEMATICA HUNGARICA, 1990, 56 (3-4) : 361 - 367
[28] Matrix Summability of Walsh-Fourier Series
Goginava, Ushangi
Nagy, Karoly
[J]. MATHEMATICS, 2022, 10 (14)
[29] On a problem of Hardy for Walsh-Fourier series
S. V. Bochkarev
[J]. Doklady Mathematics, 2010, 81 : 390 - 391
[30] (C, α) summability of Walsh-Fourier series
Weisz F.
[J]. Analysis Mathematica, 2001, 27 (2) : 141 - 155

← 1 2 3 4 5 →