On the Positivity of Average Sums of Sine Series with Monotone Coefficients

被引：0

作者：

Alferova, E. D. ^{[1
,2
]}

Popov, A. Yu ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

来源：

基金：

俄罗斯基础研究基金会;

关键词：

sine series; conjugate Dirichlet kernels; monotone coefficients;

D O I：

10.1134/S0001434621090327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：623 / 627

页数：5

共 6 条

[1] Bari H.K., 1961, TRIGONOMETRIC SERIES
[2] Hartman Ph., 1953, J LONDON MATH SOC, Vs1-28, P102, DOI [10.1112/jlms/s1-28.1.102, DOI 10.1112/JLMS/S1-28.1.102]
[3] Polya G., 1964, Aufgaben und Lehrsatze aus der Analysis
[4] Popov AY, 2021, MATH NOTES+, V109, P808, DOI [10.4213/mzm12928, 10.1134/S0001434621050126]
[5] Estimates of the sums of sine series with monotone coefficients of certain classes
Popov, AY
[J]. MATHEMATICAL NOTES, 2003, 74 (5-6) : 829 - 840
[6] Exact Constants in Telyakovskii's Two-Sided Estimate of the Sum of a Sine Series with Convex Sequence of Coefficients
Solodov, A. P.
[J]. MATHEMATICAL NOTES, 2020, 107 (5-6) : 988 - 1001