Copyright © 2012 Vatan Karakaya and Necip Şimşek. 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

1. M. Mursaleen and A. K. Noman, “On the spaces of $\lambda$-convergent and bounded sequences,” Thai Journal of Mathematics, vol. 8, no. 2, pp. 311–329, 2010.
2. B. Choudhary and S. K. Mishra, “On Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations,” Indian Journal of Pure and Applied Mathematics, vol. 24, no. 5, pp. 291–301, 1993. View at Zentralblatt MATH
3. F. Başar and B. Altay, “Some paranormed sequence spaces of non-absolute type derived by weighted mean,” Journal of Mathematical Analysis and Applications, vol. 319, no. 2, pp. 494–508, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
4. B. Altay and F. Başar, “Generalization of the sequence space $\ell (p)$ derived by weighted mean,” Journal of Mathematical Analysis and Applications, vol. 330, no. 1, pp. 174–185, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
5. B. Altay and F. Başar, “On the paranormed Riesz sequence spaces of non-absolute type,” Southeast Asian Bulletin of Mathematics, vol. 26, no. 5, pp. 701–715, 2003. View at Zentralblatt MATH
6. V. Karakaya and H. Polat, “Some new paranormed sequence spaces defined by Euler and difference operators,” Acta Universitatis Szegediensis, vol. 76, no. 1-2, pp. 87–100, 2010. View at Zentralblatt MATH
7. V. Karakaya, A. K. Noman, and H. Polat, “On paranormed $\lambda$-sequence spaces of non-absolute type,” Mathematical and Computer Modelling, vol. 54, no. 5-6, pp. 1473–1480, 2011. View at Publisher · View at Google Scholar
8. E. Malkowsky and E. Savas, “Matrix transformations between sequence spaces of generalized weighted means,” Applied Mathematics and Computation, vol. 147, no. 2, pp. 333–345, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
9. B. Altay, F. Başar, and M. Mursaleen, “On the Euler sequence spaces which include the spaces ${\ell }_p$ and ${\ell }_{\infty }$. I,” Information Sciences, vol. 176, no. 10, pp. 1450–1462, 2006. View at Publisher · View at Google Scholar
10. F. Başar and B. Altay, “On the space of sequences of $p$-bounded variation and related matrix mappings,” Ukrainian Mathematical Journal, vol. 55, no. 1, pp. 136–147, 2003. View at Publisher · View at Google Scholar
11. M. Mursaleen and A. K. Noman, “On some new sequence spaces of non-absolute type related to the spaces ${\ell }_P$ and ${\ell }_{\infty }$ I,” Filomat, vol. 25, no. 2, pp. 33–51, 2011. View at Publisher · View at Google Scholar
12. M. Mursaleen and A. K. Noman, “On some new sequence spaces of non-absolute type related to the spaces ${\ell }_P$ and ${\ell }_{\infty }$ II,” Mathematical Communications, vol. 16, no. 2, pp. 383–398, 2011.
13. M. Mursaleen, F. Başar, and B. Altay, “On the Euler sequence spaces which include the spaces ${\ell }_p$ and ${\ell }_{\infty }$. II,” Nonlinear Analysis, vol. 65, no. 3, pp. 707–717, 2006. View at Publisher · View at Google Scholar
14. I. J. Maddox, “Spaces of strongly summable sequences,” The Quarterly Journal of Mathematics, vol. 18, no. 2, pp. 345–355, 1967. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
15. I. J. Maddox, Elements of Functional Analysis, Cambridge University Press, Cambridge, UK, 2nd edition, 1988.
16. I. J. Maddox, “Paranormed sequence spaces generated by infinite matrices,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 64, pp. 335–340, 1968.
17. K.-G. Grosse-Erdmann, “Matrix transformations between the sequence spaces of Maddox,” Journal of Mathematical Analysis and Applications, vol. 180, no. 1, pp. 223–238, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH