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A new condition for the uniform convergence of certain trigonometric series

Rui-Jun Le, Song-Ping Zhou

Published 2006-11-10Version 1

The present paper proposes a new condition to replace both the ($O$-regularly varying) quasimonotone condition and a certain type of bounded variation condition, and shows the same conclusion for the uniform convergence of certain trigonometric series still holds.

Comments: 10 pages
Journal: Acta Math. Hungar. 108(2005), 161-169
Categories: math.CA
Subjects: 42A20, 42A32
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