Two-sided estimate for the derivative of the sum of sine series with convex sequence of coefficients

被引：0

作者：

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

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia

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

来源：

SBORNIK MATHEMATICS | 2024年 / 215卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

sine series; convex sequence of coefficients; MONOTONE COEFFICIENTS;

D O I：

10.4213/sm10032e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The absolute value of the derivative of the sum of an arbitrary sine series with convex sequence of coefficients is estimated. The upper estimate is asymptotically sharp, and the lower estimate is order sharp.

引用

页码：1374 / 1405

页数：32

共 50 条

[1] Sharp Two-Sided Estimate for the Sum of a Sine Series with Convex Slowly Varying Sequence of Coefficients
Solodov, A. P.
ANALYSIS MATHEMATICA, 2020, 46 (03) : 579 - 603
[2] Sharp Two-Sided Estimate for the Sum of a Sine Series with Convex Slowly Varying Sequence of Coefficients
A. P. Solodov
Analysis Mathematica, 2020, 46 : 579 - 603
[3] Exact Constants in Telyakovskii's Two-Sided Estimate of the Sum of a Sine Series with Convex Sequence of Coefficients
Solodov, A. P.
MATHEMATICAL NOTES, 2020, 107 (5-6) : 988 - 1001
[4] Exact Constants in Telyakovskii’s Two-Sided Estimate of the Sum of a Sine Series with Convex Sequence of Coefficients
A. P. Solodov
Mathematical Notes, 2020, 107 : 988 - 1001
[5] Optimal Two-Sided Estimates on the Interval [π/2,π] of the Sum of the Sine Series with Convex Coefficient Sequence
Popov, A. Yu
Solodov, A. P.
MATHEMATICAL NOTES, 2022, 112 (1-2) : 328 - 331
[6] Two-Sided Estimates of the L∞-Norm of the Sum of a Sine Series with Monotone Coefficients {bk} via the l∞-Norm of the Sequence {kbk}
Alferova, E. D.
Popov, A. Yu
MATHEMATICAL NOTES, 2020, 108 (3-4) : 471 - 476
[7] Propagation of the Lower Estimate of the Sum of a Sine Series with Convex Sequence of Coefficients Obtained by Telyakovskii to a Longer Segment
Popov, A. Yu.
Solodov, A. P.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2024, 79 (04) : 175 - 181
[8] Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Solodov, Aleksei
MATHEMATICS, 2021, 9 (18)
[9] A sharp lower bound for the sum of a sine series with convex coefficients
Solodov, A. P.
SBORNIK MATHEMATICS, 2016, 207 (12) : 1743 - 1777
[10] ON THE BEHAVIOR NEAR THE ORIGIN OF THE SUM OF SINE SERIES WITH THIRD SEMI-CONVEX COEFFICIENTS
Braha, Naim L.
JOURNAL OF MATHEMATICAL ANALYSIS, 2010, 1 (02): : 9 - 17

← 1 2 3 4 5 →