Properties of Sums of Double Trigonometric Series with Multiply Monotone Coefficients

被引：0

作者：

Vukolova, T. M. ^{[1
]}

Simonov, B., V ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Inst Russian Language & Culture, Moscow 117218, Russia

[2] Volgograd State Tech Univ, Volgograd 400005, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2020年 / 75卷 / 05期

关键词：

series; coefficients of series; multiple monotonicity; sequence; sum;

D O I：

10.3103/S0027132220050083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sums of double sine and cosine series with multiply monotone coefficients are studied. Sufficient conditions for such sums to belong to Orlich's weighted classes are obtained.

引用

页码：188 / 203

页数：16

共 50 条

[1] 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
[2] ON PROPERTIES OF SUMS OF TRIGONOMETRIC SERIES WITH MONOTONE COEFFICIENTS
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DYACHENKO, MI
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1995, (03): : 22 - 32
[3] On double trigonometric series with multiply monotone coefficients in Lorentz spaces
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[J]. Analysis Mathematica, 2001, 27 (02) : 119 - 139
[4] Smoothness of Sums of Trigonometric Series with Monotone Coefficients
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[5] Smoothness of sums of trigonometric series with monotone coefficients
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[J]. Russian Mathematics, 2007, 51 (4) : 18 - 26
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[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1992, (05): : 27 - 33
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[8] TRIGONOMETRIC SERIES WITH MONOTONE COEFFICIENTS
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[J]. MATHEMATICAL NOTES, 1977, 22 (1-2) : 533 - 536
[9] ON THE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES AND FOURIER-SERIES WITH MONOTONE COEFFICIENTS
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[J]. MATHEMATICS OF THE USSR-SBORNIK, 1986, 129 (1-2): : 57 - 75
[10] Classes Lip(α, p) for double trigonometric series with monotone coefficients
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[J]. Moscow University Mathematics Bulletin, 2008, 63 (1) : 12 - 16

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