Degree of approximation in the space Hpω by the even-type delayed arithmetic mean of Fourier series

被引：7

作者：

Kim, Jaeman ^{[1
]}

机构：

[1] Kangwon Natl Univ, Dept Math Educ, Chunchon 200701, Kangwon Do, South Korea

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 05期

关键词：

Degree of approximation; space H-p(omega) with norm parallel to.parallel to(omega)(p); even-type delayed arithmetic mean; Fourier series;

D O I：

10.1515/gmj-2021-2092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to give a degree of approximation of a function in the space H-p(omega) with norm. parallel to.parallel to(omega)(p) by using even-type delayed arithmetic mean of its Fourier series.

引用

页码：747 / 753

页数：7

共 9 条

[1]

Das G, 2002, ANALYSIS AND APPLICATIONS -BOOK, P43

[2]

de la Vallee Poussin C., 1918, C. R. Acad. Sci. Paris, V166, P799

[3]

Leindler L., 1979, Studia Sci .Math. Hungarica, V14, P431

[4]

Mazhar S. M, 1991, APPROXIMATION PARTIA, P149

[5] APPROXIMATION OF CONTINUOUS-FUNCTIONS BY T-MEANS OF FOURIER-SERIES [J].

MAZHAR, SM ;

TOTIK, V .

JOURNAL OF APPROXIMATION THEORY, 1990, 60 (02) :174-182

[6] An Estimate of the Rate of Convergence of the Fourier Series in the Generalized Holder Metric by Delayed Arithmetic Mean [J].

Nayak, L. ;

Das, G. ;

Ray, B. K. .

INTERNATIONAL JOURNAL OF ANALYSIS, 2014,

[7] ON THE STRONG APPROXIMATION OF FOURIER-SERIES [J].

TOTIK, V .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1980, 35 (1-2) :151-172

[8]

TOTIK V., 1981, J. Indian Math. Soc., V45, P85

[9]

Zygmund A., 1959, Trigonometric series

← 1 →