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A new condition for the uniform convergence of certain trigonometric series |
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| Authors: | R J Le S P Zhou |
| Institution: | (1) Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, China;(2) Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area, Hangzhou, Zhejiang 310018, China |
| Abstract: | Summary 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. |
| Keywords: | uniform convergence quasimonotone O-regularly varying quasimonotone bounded variation |
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