On strong summability of fourier series of summable functions

被引：0

作者：

Pachulia N.L. ^{[1
]}

机构：

[1] Abkhazian University, Sukhumi

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 8期

关键词：

Fourier Series; Trigonometric Polynomial; Summable Function; Generalize Means; Strong Summability;

D O I：

10.1023/A:1010357105483

中图分类号：

学科分类号：

摘要：

In the metric of L, we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials. © 2000 Plenum Publishing Corporation.

引用

页码：1264 / 1273

页数：9

共 5 条

[1]

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[2]

Gabisoniya O.D., On the points of strong summation of Fourier series, Usp. Mat. Nauk, 44, 8, pp. 1020-1031, (1992)

[3]

Hardy G.H., Littlewood J.E., Polya G., Inequalities, (1969)

[4]

Shilov G.E., Mathematical Analysis [in Russian], (1969)

[5]

Stechkin S.B., On approximation of periodic functions by Fejér series, Tr. Mat. Inst. Akad. Nauk SSSR, 12, pp. 48-60, (1961)

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