A new condition for the uniform convergence of certain trigonometric series

Details A new condition for the uniform convergence of certain trigonometric series A new condition for the uniform convergence of certain trigonometric series

2006-11-10

arxiv.org/abs/math/0611299v1

Acta Math. Hungar. 108(2005), 161-169

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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.

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