International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 59681, 10 pages
Research Article

Characterization of Entire Sequences via Double Orlicz Space

N. Subramanian,1 R. Nallaswamy,2 and N. Saivaraju3

1Department of Mathematics, SASTRA University, Tanjore 613 402, India
2Department of Mathematics, National Institute of Technology, Tiruchirappalli 620 015, India
3Department of Mathematics, Shri Angalamman College of Engineering and Technology, Anna University, Tiruchirappalli 621 105, India

Received 24 February 2007; Revised 12 April 2007; Accepted 2 September 2007

Academic Editor: Linda R. Sons

Copyright © 2007 N. Subramanian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let Γ denote the space of all entire sequences and the space of all analytic sequences. This paper is a study of the characterization and general properties of entire sequences via double Orlicz space of ΓM2 of Γ2 establishing some inclusion relations.