Hardy-Littlewood theorem for trigonometric series with {alpha}-monotone coefficients

The Hardy-Littlewood theorem is established for trigonometric series with {alpha}-monotone coefficients. Inequalities of Hardy-Littlewood kind are proved. Examples of series demonstrating that the results obtained are sharp are constructed. Bibliography: 15 titles.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Sbornik. Mathematics 2009-12, Vol.200 (11)
Hauptverfasser:	Dyachenko, Mikhail I, Nursultanov, Erlan D
Format:	Artikel
Sprache:	eng
Schlagworte:	GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE GEOMETRY MATHEMATICAL LOGIC MATHEMATICAL METHODS AND COMPUTING SERIES EXPANSION
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The Hardy-Littlewood theorem is established for trigonometric series with {alpha}-monotone coefficients. Inequalities of Hardy-Littlewood kind are proved. Examples of series demonstrating that the results obtained are sharp are constructed. Bibliography: 15 titles.
ISSN:	1064-5616 1468-4802
DOI:	10.1070/SM2009V200N11ABEH004053;COUNTRYOFINPUT:INTERNATIONALATOMICENERGYAGENCY(IAEA)