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ISRN Mathematical Analysis
Volume 2012 (2012), Article ID 378575, 11 pages
doi:10.5402/2012/378575
Some Almost Lacunary Double Sequence Spaces Defined by Orlicz Functions in 2-Normed Spaces
Ishik University, Erbil, Iraq
Received 16 November 2011; Accepted 25 December 2011
Academic Editor: O. Miyagaki
Copyright © 2012 Orhan Tuğ. 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
Das and Patel (1989) introduced two new sequence spaces which are called lacunary almost convergent and lacunary strongly almost convergent sequence spaces. Móricz and Rhoades (1988) defined and studied almost P-convergent double sequences spaces. Savaş and Patterson (2005) introduce the almost lacunary strong P-convergent double sequence spaces by using Orlicz functions and examined some properties of these sequences spaces. In this paper, some almost lacunary double sequences spaces are given by using 2-normed spaces.