The Uniform Convergence of Certain Trigonometric Series
نویسندگان
چکیده
منابع مشابه
Uniform Convergence of Double Trigonometric Series
It is a classical problem in Fourier analysis to give conditions for a single sine or cosine series to be uniformly convergent. Several authors gave conditions for this problem supposing that the coefficients are monotone, non-negative or more recently, general monotone. There are also results for the regular convergence of double sine series to be uniform in case the coefficients are monotone ...
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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 Univer...
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1011