On L1 convergence of Fourier series of complex valued functions

Author:

Le R.,Zhou S.1

Affiliation:

1. 1 Zhejiang Sci-Tech University, Xiasha Ecnomic Development Area Institute of Mathematics Hangzhou, Zhejiang 310018 China

Abstract

In the present paper we give a brief review of L1 -convergence of trigonometric series. Previous known results in this direction are improved and generalized by establishing a new condition.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference12 articles.

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2. Sur un mode de croissance réguliere des fonctions;Karamata J.;Mathematica (Cluj),1930

3. On the uniform convergence and boundedness of a certain class of sine series;Leindler L.;Anal. Math.,2001

4. A new class of numerical sequences and its applications to sine and cosine series;Leindler L.;Anal. Math.,2002

5. L1-convergence of Fourier series with complex quasimonotone coefficients;Stanojevic V. B.;Proc. Amer. Math. Soc.,1982

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. L 1-approximation rate of certain trigonometric series;Acta Mathematica Hungarica;2011-03-10

2. On L1-Convergence of Fourier Series under the MVBV Condition;Canadian Mathematical Bulletin;2009-12-01

3. On L1-convergence of Fourier series;Journal of Mathematical Analysis and Applications;2008-11

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