A new condition for the uniform convergence of certain trigonometric series

By R. Le, Song-Ping Zhou. 2005

51 citations recorded by the source corpus.

SummaryThe 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.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/985194ad026e7f26e5406d4711844f6a67e5aad6

How researchers see this paper

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1. P. Zhou
2. Songping Zhou
3. Dansheng Yu

Citations in the corpus

• Ultimate generalization to monotonicity for uniform convergence of trigonometric series (2006, background): “Previous results concerning the generalization of ChaundyJollif Theorem to complex space can be found in [7], [23], and [25], etc.”