Lobachevskii Journal of Mathematics

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

Convergence of modified complex trigonometric sums in the metric space L

Article

Abstract

We study the L1-convergence of new modified complex trigonometric sum and obtain a new necessary and sufficient condition for the L1-convergence of Fourier series.

Key words and phrases

L1-convergence Dirichlet kernel monotone decreasing sequence 

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References

  1. 1.
    J. Kaur and S. S. Bhatia, Convergence Of New Modified Trigonometric Sums In The Metric Space L, J. Nonlinear Anal. Appl. 1, 1 (2008).MathSciNetGoogle Scholar
  2. 2.
    J. Kaur and S. S. Bhatia, AClass of L 1-convergenece of new modified cosine sum, Southeast Asian Bulletin of Mathematics, (to appear).Google Scholar
  3. 3.
    K. Kaur, S. S. Bhatia, and B. Ram, L 1-convergence of certain trigonometric sums, GeorgianMath. J. 11(1), 99 (2004).MATHMathSciNetGoogle Scholar
  4. 4.
    S. S. Bhatia and B. Ram, The extensions of the F. Móricz theorems, Proc. Amer. Math. Soc. 6(124), 1821 (1996).CrossRefMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

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

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