Approximation of Integrable Functions by General Linear Operators of Their Fourier Series

被引：0

作者：

Wodzimierz LENSKI ^{[1
]}

Bogdan SZAL ^{[1
]}

机构：

[1] Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gra

来源：

Acta Mathematica Sinica,English Series | 2012年 / 06期

关键词：

Rate of approximation; summability of Fourier series;

D O I：

暂无

中图分类号：

O177 [泛函分析]; O174.21 [正交级数（傅里叶级数）];

学科分类号：

070104 ;

摘要：

The pointwise estimates of the deviation T n,A,B f (·) f (·) in terms of moduli of continuity .f and w.f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in [Mittal, M. L.: J. Math. Anal. Appl., 220, 434-450 (1998) Theorem 1, p. 437].

引用

页码：1119 / 1134

页数：16

共 50 条

[41] Divergent Fourier series of integrable functions with respect to orthonormal systems
Krantsberg, AS
MATHEMATICAL NOTES, 1998, 63 (5-6) : 631 - 637
[42] DIVERGENCE OF REARRANGED FOURIER-SERIES OF SQUARE INTEGRABLE FUNCTIONS
NAKATA, S
ACTA SCIENTIARUM MATHEMATICARUM, 1971, 32 (1-2): : 59 - &
[43] CONVERGENCE OF FOURIER-SERIES FOR A CLASS OF A-INTEGRABLE FUNCTIONS
PETROVICH, AY
SIBERIAN MATHEMATICAL JOURNAL, 1979, 20 (02) : 259 - 270
[44] Pointwise summability of Fourier-Laguerre series of integrable functions
Kubiak, Maciej
Lenski, Wlodzimierz
Szal, Bogdan
FILOMAT, 2023, 37 (22) : 7599 - 7606
[45] THE DEGREE OF APPROXIMATION OF FUNCTIONS, AND THEIR CONJUGATES, BELONGING TO SEVERAL GENERAL LIPSCHITZ CLASSES BY HAUSDORFF MATRIX MEANS OF THE FOURIER SERIES AND CONJUGATE SERIES OF A FOURIER SERIES
Rhoades, B. E.
TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (04): : 389 - 395
[46] Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method
Tas, Emre
Yurdakadim, Tugba
COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 363 - 372
[47] On the application of linear positive operators for approximation of functions
S. B. Gashkov
Mathematical Notes, 2016, 100 : 666 - 676
[48] Approximation of unbounded functions by linear positive operators
Kasana, HS
Sollervall, H
MATHEMATISCHE NACHRICHTEN, 1996, 180 : 85 - 93
[49] ON UNIFORM APPROXIMATION OF FUNCTIONS BY POSTIVE LINEAR OPERATORS
MOROZOV, MI
DOKLADY AKADEMII NAUK SSSR, 1967, 172 (04): : 787 - &
[50] THE ORDER OF THE APPROXIMATION OF FUNCTIONS BY LINEAR POSITIVE OPERATORS
KOROVKIN, PP
DOKLADY AKADEMII NAUK SSSR, 1957, 114 (06): : 1158 - 1161

← 1 2 3 4 5 →