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A New'Condition and Applications in Fourier Analysis(Ⅱ) 被引量:4

A New Condition and Applications in Fourier Analysis (Ⅱ)
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摘要 As we already mentioned in [6], in Fourier analysis, since Fourier coefficients are computable and applicable, people have established many nice results by assuming monotonicty of the coefficients. Generally speaking, it became an important topic how to generalize monotonicity. In many studies the generalization follows by this way:
出处 《数学进展》 CSCD 北大核心 2005年第2期249-252,共4页 Advances in Mathematics(China)
基金 Supported in part by Natural Science Foundation of China(No. 10471130).
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  • 1Chaundy T W, Jolliffe A E. The uniform cnvergence of a certain class of trigonometric series [J]. Proc.London Math. Soc., 1916, 15(2): 214-216.
  • 2Leindler L. On the uniform convergence and boundedness of a certain class of sine series [J]. Anal. Math.,2001, 27: 279-285.
  • 3Leindler L. A new of numerical sequences and its applications to sine and cosine series [J]. Anal. Math.,2002, 28: 279-286.

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