Journal Menu
- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Submit a Manuscript
- Table of Contents
ISRN Mathematical Analysis
Volume 2012 (2012), Article ID 378575, 11 pages
doi:10.5402/2012/378575
Research Article
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.
Linked References
- A. Pringsheim, “Zur Theorie der zweifach unendlichen Zahlenfolgen,” Mathematische Annalen, vol. 53, no. 3, pp. 289–321, 1900. View at Publisher · View at Google Scholar · View at MathSciNet
- H. J. Hamilton, “Transformations of multiple sequences,” Duke Mathematical Journal, vol. 2, no. 1, pp. 29–60, 1936. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- G. M. Robison, “Divergent double sequences and series,” Transactions of the American Mathematical Society, vol. 28, no. 1, pp. 50–73, 1926. View at Publisher · View at Google Scholar
- A. R. Freedman, J. J. Sember, and M. Raphael, “Some Cesàro-type summability spaces,” Proceedings of the London Mathematical Society. Third Series, vol. 37, no. 3, pp. 508–520, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- J. A. Fridy and C. Orhan, “Lacunary statistical convergence,” Pacific Journal of Mathematics, vol. 160, no. 1, pp. 43–51, 1993. View at Zentralblatt MATH
- J. Li, “Lacunary statistical convergence and inclusion properties between lacunary methods,” International Journal of Mathematics and Mathematical Sciences, vol. 23, no. 3, pp. 175–180, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- R. F. Patterson and E. Savaş, “Lacunary statistical convergence of double sequences,” Mathematical Communications, vol. 10, no. 1, pp. 55–61, 2005. View at Zentralblatt MATH
- M. A. Krasnoselskii and Y. B. Rutisky, Convex Function and Orlicz Spaces, Groningen, The Netherlands, Noordhoff, 1961.
- W. H. Ruckle, “FK-spaces in which the sequence of coordinate vectors is bounded,” Canadian Journal of Mathematics, vol. 25, pp. 973–978, 1973. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- I. J. Maddox, “Sequence spaces defined by a modulus,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 100, no. 1, pp. 161–166, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- B. Tripathy and B. C. Tripathy, “On I-convergent double sequences,” Soochow Journal of Mathematics, vol. 31, no. 4, pp. 549–560, 2005.
- S. Gähler, “2-metrische Räume und ihre topologische Struktur,” Mathematische Nachrichten, vol. 26, pp. 115–148, 1963. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- S. Gahler, “Lineare 2-normietre Raume,” Mathematische Nachrichten, vol. 28, pp. 335–347, 1964.
- S. Gahler, “Unterschungen uber verallgemeinerte m-metrische Raume.II,” Mathematische Nachrichten, vol. 40, pp. 229–264, 1969.
- F. Móricz and B. E. Rhoades, “Almost convergence of double sequences and strong regularity of summability matrices,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 104, no. 2, pp. 283–294, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- E. Savaş and R. F. Patterson, “Double sequence spaces characterized by lacunary sequences,” Applied Mathematics Letters, vol. 20, no. 9, pp. 964–970, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- G. Das and B. K. Patel, “Lacunary distribution of sequences,” Indian Journal of Pure and Applied Mathematics, vol. 20, no. 1, pp. 64–74, 1989. View at Zentralblatt MATH
- E. Savaş and R. F. Patterson, “On some double almost lacunary sequence spaces defined by Orlicz functions,” Filomat, no. 19, pp. 35–44, 2005. View at Zentralblatt MATH