On the rate of convergence in L of Fourier sine series with monotone coefficients

被引：0

作者：

S. A. Telyakovskii

机构：

[1] Russian Academy of Sciences,Steklov Mathematical Institute

来源：

Mathematical Notes | 2016年 / 100卷

关键词：

convergence in L; sine series with monotone coefficients;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is shown that the exact order of decrease of the norm in L of the remainder of a Fourier sine series with monotone coefficients can be expressed in terms of the coefficients of the series just as for a series with convex coefficients. But the numerical multipliers in the estimates are different.

引用

页码：472 / 476

页数：4

共 50 条

[1] On the rate of convergence in L of Fourier sine series with monotone coefficients
Telyakovskii, S. A.
[J]. MATHEMATICAL NOTES, 2016, 100 (3-4) : 472 - 476
[2] On the uniform convergence of double sine series with generalized monotone coefficients
Péter Kórus
[J]. Periodica Mathematica Hungarica, 2011, 63 : 205 - 214
[3] On the uniform convergence of double sine series with generalized monotone coefficients
Korus, Peter
[J]. PERIODICA MATHEMATICA HUNGARICA, 2011, 63 (02) : 205 - 214
[4] Uniform Convergence of Sine Series with Fractional-Monotone Coefficients
Dyachenko, M. I.
[J]. MATHEMATICAL NOTES, 2023, 114 (3-4) : 296 - 302
[5] Uniform Convergence of Sine Series with Fractional-Monotone Coefficients
M. I. Dyachenko
[J]. Mathematical Notes, 2023, 114 : 296 - 302
[6] ON THE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES AND FOURIER-SERIES WITH MONOTONE COEFFICIENTS
DYACHENKO, MI
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1986, 129 (1-2): : 57 - 75
[7] L1-CONVERGENCE OF FOURIER-SERIES WITH QUASI-MONOTONE COEFFICIENTS
GARRETT, JW
REES, CS
STANOJEVIC, CV
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (03) : 535 - 538
[8] U-Convergence of Fourier Series with Monotone and with Positive Coefficients
M. I. D'yachenko
[J]. Mathematical Notes, 2001, 70 : 320 - 328
[9] U-convergence of Fourier series with monotone and with positive coefficients
D'yachenko, MI
[J]. MATHEMATICAL NOTES, 2001, 70 (3-4) : 320 - 328
[10] L-1-CONVERGENCE OF FOURIER-SERIES WITH COMPLEX QUASI-MONOTONE COEFFICIENTS
STANOJEVIC, VB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (02) : 241 - 247

← 1 2 3 4 5 →