Estimates of the sums of sine series with monotone coefficients of certain classes

被引：10

作者：

Popov, AY ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2003年 / 74卷 / 5-6期

关键词：

sine series; sum of a sine series with monotone coefficients; estimate of the sum of a sine series; monotone sequence;

D O I：

10.1023/B:MATN.0000009019.66625.fb

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain two-sided estimates with sharp constants of the sums of sine series with a convex sequence of coefficients tending to zero.

引用

页码：829 / 840

页数：12

共 50 条

[31] Uniform Convergence of Sine Series with Fractional-Monotone Coefficients
M. I. Dyachenko
[J]. Mathematical Notes, 2023, 114 : 296 - 302
[32] Estimate for the integral of the absolute value of a sine series with monotone coefficients
A. Yu. Popov
S. A. Telyakovskii
[J]. Proceedings of the Steklov Institute of Mathematics, 2013, 280 : 263 - 267
[33] ON DOUBLE COSINE, SINE, AND WALSH-SERIES WITH MONOTONE COEFFICIENTS
MORICZ, F
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (02) : 417 - 425
[34] Cosine and sine series with generalized monotone coefficients in Lorentz spaces
Volosivets, S. S.
[J]. ANALYSIS MATHEMATICA, 2017, 43 (04) : 641 - 655
[35] Estimate for the Integral of the Absolute Value of a Sine Series with Monotone Coefficients
Popov, A. Yu.
Telyakovskii, S. A.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 280 (01) : 263 - 267
[36] 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
[37] ANALYTICITY OF TRIGONOMETRIC SERIES SUMS WITH INFINITE-MONOTONE COEFFICIENTS
DYACHENKO, MI
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1987, (05): : 35 - 40
[38] Properties of Sums of Double Trigonometric Series with Multiply Monotone Coefficients
T. M. Vukolova
B. V. Simonov
[J]. Moscow University Mathematics Bulletin, 2020, 75 : 188 - 203
[39] Properties of Sums of Double Trigonometric Series with Multiply Monotone Coefficients
Vukolova, T. M.
Simonov, B., V
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2020, 75 (05) : 188 - 203
[40] COEFFICIENTS IN SERIES EXPANSIONS FOR CERTAIN CLASSES OF FUNCTIONS
TUAN, PD
ELLIOTT, D
[J]. MATHEMATICS OF COMPUTATION, 1972, 26 (117) : 213 - &

← 1 2 3 4 5 →