Lobachevskii Journal of Mathematics

, Volume 31, Issue 3, pp 290–294 | Cite as

Convergence of modified complex trigonometric sums in the metric space L



We study the L 1-convergence of new modified complex trigonometric sum and obtain a new necessary and sufficient condition for the L 1-convergence of Fourier series.

Key words and phrases

L1-convergence Dirichlet kernel monotone decreasing sequence 


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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatiala(Pb.)India

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