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SOME NEW CONDITIONS IN FOURIER ANALYSIS AND APPLICATIONS 被引量：1

SOME NEW CONDITIONS IN FOURIER ANALYSIS AND APPLICATIONS
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摘要 We investigate some conditions in Fourier analysis as a generalization of monotonicity condition. Especially, we give some applications of GBVS and sequences satisfy the condition ΔB1 and ΔB2. We investigate some conditions in Fourier analysis as a generalization of monotonicity condition. Especially, we give some applications of GBVS and sequences satisfy the condition ΔB1 and ΔB2.
作者 Songping Zhou Dansheng Yu Ruijun Le
机构地区 Institute of Mathematics Zhejiang Sci-Tech University Xiasha Ecnomic Development Area Hangzhou Department of Mathematics Ningbo University Ningbo
出处 《Analysis in Theory and Applications》 2007年第1期92-100,共9页 分析理论与应用（英文刊）
基金 Supported in Part by NSF of China(10471130)
关键词 trigonometric series uniform convergence L＇-convergence trigonometric series, uniform convergence, L＇-convergence
分类号 O174.2 [理学—基础数学]
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  • 1Chaundy T.W.and Jolliffe A.E.,The uniform convergence of a certain class of trigonometric series,Proc.London Math.Soc.,1916,15(2):214-216.
  • 2Leindler L.,On the uniform convergence and boundedness of a certain class of sine series,Anal.Math.,2001,27:279-285.
  • 3Nurcombe J.R.,On the uniform convergence of sine series with quasimonotone coefficients,J.Math.Anal.Appl.,1992,166:577-581.
  • 4Shah S.M.,Trigonometric series with quasi-monotone coefficients,Proc.Amer.Math.Soc.,1962,13:266-273.
  • 5Telyakovskii S.A.,Uniform convergence of trigonometric series with rarely changing coefficients,Math.Notes,2001,70:553-559.
  • 6Xie T.F.and Zhou S.P.,The uniform convergence of certain trigonometric series,J.Math.Anal.Appl.,1994,181:171-180.
  • 7Le R.J.and Zhou S.P.,A new condition for the uniform convergence of certain trigonometric series,Acta Math.Hunqar.,2005,108:161-169.
  • 8周颂平,乐瑞君.A New Condition for the Uniform Convergence in Fourier Analysis[J].数学进展,2004,33(3):381-383. 被引量：2

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Analysis in Theory and Applications
2007年 第1期

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