Abstract. In this paper, we get a necessary and sufficient condition for sine series with monotonically decreasing cofficients to belong to some Orlicz space. Moreover, we have analogue results for cosine series.
AMS Subject Classification
(1991): 42A32, 46E30
Keyword(s):
Trigonometric series,
Orlicz space
Received July 27, 2001, and in revised form November 22, 2001. (Registered under 2892/2009.)
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