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A new condition for the uniform convergence of certain trigonometric series

Rui-Jun Le, Song-Ping Zhou

math.CAarXiv:math/0611299

Abstract

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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