Lobachevskii Journal of Mathematics

, Volume 39, Issue 2, pp 236–239 | Cite as

A New Class of Sequences and L-Convergence of Some Complex Modified Trigonometric Sums

  • Xhevat Z. Krasniqi


We show that the new complex modified trigonometric sums, introduced by others, converge in the space L under a new class of sequences.

Keywords and phrases

L1-convergence null sequence trigonometric series modified sums 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. S. Bhatia and B. Ram, “The extensions of the F. Móricz’s theorems,” Proc. Am. Math. Soc. 124, 1821–1824 (1996).CrossRefzbMATHGoogle Scholar
  2. 2.
    J. Kaur and S. S. Bhatia, “Convergence of modified complex trigonometric sums in the metric space L,” Lobachevskii J.Math. 31, 290–294 (2010).MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    J. Kaur and S. S. Bhatia, “A class of L 1 convergence of new modified cosine sum,” Southeast Asian Bull. Math. 36, 831–836 (2012).MathSciNetzbMATHGoogle Scholar
  4. 4.
    K. Kaur, S. S. Bhatia, and B. Ram, “Integrability and L 1 convergence ofmodified sine sums,” Georgian.Math. J. 11 (1), 99–104 (2004).MathSciNetzbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Informatics, Faculty of EducationUniversity of PrishtinaPrishtinaKosovo

Personalised recommendations