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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper Title:
Integrability of Sine and Cosine Series Having Coefficients of a New Class
Author(s):
L. Leindler Bolyai Institute,
University of Szeged, Aradi Vértanúk Tere 1, H-6720 Szeged, Hungary
leindler@math.u-szeged.hu
Abstract:
Some integrability theorems or only their sufficient part are
generalized such that the coefficients of the sine and cosine series belong to a
new class of sequences being wider than the class of sequences of rest bounded
variation, which itself is a generalization of the monotone decreasing
sequences, but a subclass of the almost monotone decreasing sequences. It is
also verified that the new class of sequences and the class of almost monotone
decreasing sequences are not comparable.
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