APPROXIMATION BY SUBSEQUENCES OF MATRIX TRANSFORM MEAN OF WALSH-FOURIER SERIES

被引：3

作者：

Blahota, Istvan ^{[1
]}

机构：

[1] Univ Nyiregyhaza, Inst Math & Comp Sci, POB 166, H-4400 Nyiregyhaza, Hungary

来源：

REAL ANALYSIS EXCHANGE | 2023年 / 48卷 / 01期

关键词：

character system; Fourier series; Walsh-Paley system; rate of approximation; modulus of continuity; Lipschitz functions; matrix transform; NORLUND MEANS; CESARO MEANS;

D O I：

10.14321/realanalexch.48.1.1654398223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we discuss the rate of the approximation by the matrix transform of special partial sums of Walsh-Fourier series in L-p(G) space (1 <= p < infinity) and in C(G).

引用

页码：107 / 117

页数：11

共 50 条

[31] 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
[32] LOGARITHMIC MEANS OF WALSH-FOURIER SERIES
Goginava, Ushangi
[J]. MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 255 - 270
[33] On the approximation properties of Cesaro means of negative order of Walsh-Fourier series
Goginava, U
[J]. JOURNAL OF APPROXIMATION THEORY, 2002, 115 (01) : 9 - 20
[34] ON UNIFORM CONVERGENCE FOR WALSH-FOURIER SERIES
ONNEWEER, CW
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1970, 34 (01) : 117 - &
[35] On the Uniform Convergence of Walsh-Fourier Series
U. Goginava
[J]. Acta Mathematica Hungarica, 2001, 93 : 59 - 70
[36] On the uniform convergence of Walsh-Fourier series
Goginava, U
[J]. ACTA MATHEMATICA HUNGARICA, 2001, 93 (1-2) : 59 - 70
[37] APPROXIMATION BY NORLUND MEANS OF DOUBLE WALSH-FOURIER SERIES FOR LIPSCHITZ FUNCTIONS
Nagy, Karoly
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 301 - 322
[38] ON THE PARTIAL SUMS OF WALSH-FOURIER SERIES
Tephnadze, George
[J]. COLLOQUIUM MATHEMATICUM, 2015, 141 (02) : 227 - 242
[39] On a problem of Hardy for Walsh-Fourier series
S. V. Bochkarev
[J]. Doklady Mathematics, 2010, 81 : 390 - 391
[40] (C, α) summability of Walsh-Fourier series
Weisz F.
[J]. Analysis Mathematica, 2001, 27 (2) : 141 - 155

← 1 2 3 4 5 →