GENERALIZATION OF A RESULT FOR COSINE SERIES ON THE L¹ NORM

JÓZSEF NÉMETH

BOLYAI INSTITUTE
UNIVERSITY OF SZEGED
ARADI VÉRTAN\'UK TERE 1.
H-6720 HUNGARY
E-Mail: nemethj@math.u-szeged.hu

Received 13 November, 2002; Accepted 03 July, 2003.
Communicated by: A. Babenko

ABSTRACT.    A -estimate will be established for cosine series, considering the generalized Fomin-class where is a function more general than the power function Key words: Trigonometric series, Fomin-class, L1-estimate. 2000 Mathematics Subject Classification: 26D15, 42A20.

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