Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 729045, 13 pages
doi:10.1155/2009/729045
Research Article

On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function

Metin Başarir and Selma Altundağ

Department of Mathematics, Faculty of Science and Arts, Sakarya University, 54187 Sakarya, Turkey

Received 8 May 2009; Revised 3 August 2009; Accepted 26 August 2009

Academic Editor: Andrei Volodin

Copyright © 2009 Metin Başarir and Selma Altundağ. 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.

Abstract

We define generalized paranormed sequence spaces c¯(σ,M,p,q,s), c¯0(σ,M,p,q,s), m(σ,M,p,q,s), and m0(σ,M,p,q,s) defined over a seminormed sequence space (X,q). We establish some inclusion relations between these spaces under some conditions.