Some Strongly Almost Summable Sequence Spaces

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1. S. Banach, Theorie Operations Linearies, Chelsea Publishing Co., New York 1955.
2. P. Das, P. Kostyrko, W. Wilczynski and P. Malik, I and I* convergence of double sequences, Math. Slovaca 58 (2008) 605-620.
3. P. Das, P. Malik, On the statistical and I-variation of double sequences, Real Anal. Exchange 33 (2007-2008) 351-364.
4. A. Esi, Some new sequence spaces defined by a sequence of moduli, Turk. J. Math. 21 (1997) 61-68.
5. A. Esi, Strongly [V2, Λ2, M, p]-summable double sequence spaces defined by Orlicz function, Int. J. Nonlinear Anal. Appl. 2 (2011) 110-115.
6. S. Gähler, Linear 2-normietre Rume, Math. Nachr. 28 (1965), 1-43.
7. M. Gurdal, S. Pehlivan, Statistical convergence in 2-normed spaces, Southeast Asian Bull. Math. 33 (2009) 257-264.
8. H. Gunawan, On n-inner product, n-norms, and the Cauchy-Schwartz inequality, Sci. Math. Jpn. 5 (2001) 47-54.
9. H. Gunawan, The space of p-summable sequence and its natural n-norm, Bull. Aust. Math. Soc. 64 (2001) 137-147.
10. H. Gunawan, M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci. 27 (2001) 631-639.
11. P. Kostyrko, T. Salat and W. Wilczyński, I-convergence, Real Anal. Exchange 26 (2000) 669-686.
12. G.G. Lorentz, A contribution to the theory of divergent series, Acta Math. 80 (1948) 167-190.
13. J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971) 345-355.
14. L. Maligranda, Orlicz Spaces and Interpolation, Seminars in Mathematics 5, Departamento de Matemática, Universidade Estadmal de Campinas, Campinas SP Brasil 1989.
15. A. Misiak, n-inner product spaces, Math. Nachr. 140 (1989) 299-319.
16. M. Mursaleen, On some new invariant matrix methods of summability, Quart. J. Math. Oxford 34 (1983) 77-86.
17. M. Mursaleen, A. Alotaibi, On I-convergence in radom 2-normed spaces, Math. Slovaca 61 (2011) 933-940.
18. M. Mursaleen, A.K. Noman, On some new sequence spaces of non absolute type related to the spaces lp and l∞ I, Filomat 25 (2011) 33-51.
19. M. Mursaleen, A.K. Noman, On some new sequence spaces of non absolute type related to the spaces lp and l∞ II, Math. Commun. 16 (2011) 383-398.
20. M. Mursaleen, S.A. Mohiuddine and O.H.H. Edely, On ideal convergence of double sequences in intuitioistic fuzzy normed spaces, Comput. Math. Appl. 59 (2010) 603-611.
21. M. Mursaleen, S.A. Mohiuddine, On ideal convergence of double sequences in probabilistic normed spaces, Math. Reports 64 (2010) 359-371.
22. M. Mursaleen, S.A. Mohiuddine, On ideal convergence in probabilistic normed spaces, Math. Slovaca 62 (2012) 49-62.
23. J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Mathematics 1034, Springer-Verlag Berlin Heidelberg 1983.
24. K. Raj, S.K. Sharma, Some sequence spaces in 2-normed spaces defined by Musielak-Orlicz function, Acta Univ. Sapientiae Math. 3 (2011) 97-109.
25. K. Raj, S.K. Sharma, Some generalized difference double sequence spaces defined by a sequence of Orlicz-function, CUBO A Mathematical Journal 14 (2012) 167-190.
26. K. Raj, S.K. Sharma, Some multiplier sequence spaces defined by a Musielak-Orlicz function in n-normed spaces, New Zealand J. Math. 42 (2012) 45-56.
27. W. Raymond, Y. Freese and J. Cho, Geometry of Linear 2-Normed Spaces, N. Y. Nova Science Publishers, Huntington 2001.
28. A. Sahiner, M. Gurdal, S. Saltan and H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math. 11 (2007) 1477-1484.
29. B.C. Tripathy, B. Hazarika, Some I-convergent sequence spaces defined by Orlicz functions, Acta Mathematicae Applicatae Sinica 27 (2011) 149-154.
30. A. Wilansky, Summability Through Functional Analysis, North-Holland Math. Stud. 85, Elsevier Science Publishers B.V. 1984.