Additions to the Telyakovskii's class $S$

Volume 4, Issue 2, 2003

Article 35

ADDITIONS TO THE TELYAKOVSKII'S CLASS S

BOLYAI INSTITUTE,
UNIVERSITY OF SZEGED, ARADI VÉRTANÚK TERE 1,
H-6720 SZEGED, HUNGARY.
E-Mail: leindler@math.u-szeged.hu

Received 17 March, 2003; Accepted 07 April, 2003.
Communicated by: H. Bor

ABSTRACT. A sufficient condition of new type is given which implies that certain sequences belong to the Telyakovskii's class S. Furthermore the relations of two subclasses of the class S are analyzed.

Key words:
Cosine series, Fourier series, Inequalities, Classes of number sequences.

2000 Mathematics Subject Classification:
26D15, 42A20.

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