Ultimate Generalization to Monotonicity for Uniform Convergence of Trigonometric Series
نویسندگان
چکیده
Song Ping Zhou , Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area, Hangzhou, Zhejiang 310018 China, and Department of Mathematics, Statistics & Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia, Canada B2G 2W5 [email protected] Ping Zhou, Dan Sheng Yu 3 Department of Mathematics, Statistics & Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia, Canada B2G 2W5 [email protected], [email protected]
منابع مشابه
The Ultimate Condition to Generalize Monotonicity for Uniform Convergence of Trigonometric Series
Chaundy and Jolliffe [1] proved that if {an} is a non-increasing (monotonic) real sequence with lim n→∞ an = 0, then a necessary and sufficient condition for the uniform convergence of the series P∞ n=1 an sinnx is lim n→∞ nan = 0. We generalize (or weaken) the monotonic condition in this well-known result to the so-called mean value bounded variation condition and prove that the generalized co...
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