Trigonometric series with piecewise mean value bounded variation coefficients

Trigonometric series with piecewise mean value bounded variation coefficients

In the present paper, we generalize some classical results in convergence and integrability for trigono- metric series with varying coefficients （may change signs）, by introducing a new ultimate condition upon coeffi- cient sequences. This is a comprehensive systematic work on the topic.

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Veröffentlicht in:Science China. Mathematics 2013-08, Vol.56 (8), p.1661-1677
Hauptverfasser: Zhou, SongPing, Feng, FenJun, Zhang, LiJun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Astronomy
China
Convergence
Integral calculus
Mathematical analysis
Mathematics
Mathematics and Statistics
Sequences
Series (mathematics)
三角级数
分段
变差系数
变系数
平均值
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Zusammenfassung:In the present paper, we generalize some classical results in convergence and integrability for trigono- metric series with varying coefficients （may change signs）, by introducing a new ultimate condition upon coeffi- cient sequences. This is a comprehensive systematic work on the topic.
ISSN:1674-7283
1006-9283
1869-1862
DOI:10.1007/s11425-012-4543-3