ON THE BEHAVIOR NEAR THE ORIGIN OF THE SUM OF SINE SERIES WITH THIRD SEMI-CONVEX COEFFICIENTS

被引：0

作者：

Braha, Naim L. ^{[1
]}

机构：

[1] Univ Prishtina, Dept Math & Comp Sci Mother Teresa, NR=5, Zagreb 10000, Croatia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2010年 / 1卷 / 02期

关键词：

sine sums; third semi-convex null sequences; behavior near the origin;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the behavior of the sine series given by relation: g(x) = Sigma(k=1) (infinity) a(k) sin kx, in case where x -> 0 and coefficients (ak) are third semi-convex which tending to zero.

引用

页码：9 / 17

页数：9

共 33 条

[1] On the behavior of sine series with convex coefficients near the origin
Telyakovskii, SA
[J]. DOKLADY AKADEMII NAUK, 1997, 357 (04) : 462 - 463
[2] INTEGRABILITY OF TRIGONOMETRIC SERIES WITH GENERALIZED SEMI-CONVEX COEFFICIENTS
Krasniqi, Xhevat Z.
[J]. OPUSCULA MATHEMATICA, 2012, 32 (03) : 521 - 528
[3] ON THE BEHAVIOR NEAR THE ORIGIN OF DOUBLE SINE SERIES WITH MONOTONE COEFFICIENTS
Krasniqi, Xhevat Z.
[J]. MATHEMATICA BOHEMICA, 2009, 134 (03): : 255 - 273
[4] ON THE BEHAVIOR NEAR THE ORIGIN OF A SINE SERIES WITH COEFFICIENTS OF MONOTONE TYPE
Krasniqi, Xhevat Z.
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 4 (01): : 36 - 44
[5] A sharp lower bound for the sum of a sine series with convex coefficients
Solodov, A. P.
[J]. SBORNIK MATHEMATICS, 2016, 207 (12) : 1743 - 1777
[6] Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Solodov, Aleksei
[J]. MATHEMATICS, 2021, 9 (18)
[7] On the Sum of a Trigonometric Sine Series with Monotone Coefficients
A. S. Belov
[J]. Proceedings of the Steklov Institute of Mathematics, 2022, 319 : 22 - 42
[8] On the Sum of a Trigonometric Sine Series with Monotone Coefficients
Belov, A. S.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2022, 319 (01) : 22 - 42
[9] 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.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2024, 79 (04) : 175 - 181
[10] Sharp Two-Sided Estimate for the Sum of a Sine Series with Convex Slowly Varying Sequence of Coefficients
Solodov, A. P.
[J]. ANALYSIS MATHEMATICA, 2020, 46 (03) : 579 - 603

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