An Orlicz extension of difference modular sequence spaces
Resumen
In this paper we construct some difference new modular sequence spaces defined by a sequence of Orlicz functions over n-normed spaces. We also study several properties relevant to topological structures and interrelationship between these spaces.
Descargas
Citas
A. Alotaibi, M. Mursaleen , Generalized statistical convergence of difference sequences, Adv Difference Equ., (2013), 2013:212, doi: 10.1186/1687-1847-2013-212.
Ç. A. Bektaş, G. Atici, On some new modular sequence spaces, Bol. Soc. Paran. Mat. 31 (2013), 55-65.
Ç. A. Bektaş, M. Et, R. Çolak, Generalized difference sequence spaces and their dual spaces, J. Math. Anal. Appl. 292 (2004), 423-432.
T. Bilgin, Some new difference sequences spaces defined by an Orlicz function, Filomat, 17 (2003), 1-8.
R. Çolak, Y. Altin, M. Mursaleen, On some sets of diñerence sequences of fuzzy numbers, Soft Computing, 15 (2011) 787-793.
A. Esi, M. Et, Some new sequence spaces defined by a sequence of Orlicz functions, Indian J. Pure Appl. Math. 31 (2000), 967-972.
M. Et, R. Çolak, On generalized difference sequence spaces, Soochow J. Math. 21 (1995), 377-386.
M. Et, A. Esi, On Köthe-Toeplitz duals of generalized difference sequence spaces, Bull. Malays. Math. Sci. Soc. 23 (2000), 25-32.
A. Esi, B. C. Tripathy, B. Sarma, On some new type generalized difference sequence spaces, Math. Slovaca. 57 (2007), 475-482.
S. Gähler, Linear 2-normietre Rume, Math. Nachr. 28 (1965), 1-43.
H. Gunawan, On n-inner product, n-norms, and the Cauchy-Schwartz inequality, Sci. Math. Jpn. 5 (2001), 47-54.
H. Gunawan, The space of p-summable sequence and its natural n-norm,Bull. Aust. Math. Soc. 64 (2001), 137-147.
H. Gunawan, M. Mashadi, On n-normed spaces,Int. J. Math. Math. Sci. 27 (2001), 631-639.
M. Gupta, S. Pardhan, On certain type of modular sequence spaces, Turk J. Math. 32 (2008), 293-303.
P. K. Kamathan, M. Gupta, Sequence spaces and series, Marcel Dekker, Inc. Newyork 1981.
H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24 (1981), 169-176.
J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379-390.
A. Misiak, n-Inner product spaces, Math. Nachr. 140 (1989), 299-319.
E.Malkowsky, M. Mursaleen, Some matrix transformations between the diñerence sequence spaces ∆c, ∆0c, and∆ℓ∞, Filomat, 15(2001) 353-363.
M. Mursaleen, A. K. Noman, On some new difference sequence spaces of non-absolute type, Math. Comput. Modelling, 52 (2010) 603-617.
M. Mursaleen, Generalized spaces of difference sequences, J. Math. Anal. Appl. 203 (1996), 738-745.
L. Maligranda, Orlicz spaces and interpolation, Seminars in Mathematics 5, Polish Academy of Science, 1989.
J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Mathematics, 1034, 1983.
H. Nakano, Modulared sequence spaces, Proc. Jap. Acad. 27 reprinted in semi ordered Linear spaces, Tokoyo 1955.
S. D. Parasher, B. Choudhary, Sequence spaces defined by Orlicz function, Indian J. Pure Appl. Math. 25 (1994), 419-428.
Kuldip Raj, Sunil K. Sharma, Ajay K. Sharma, Some difference sequence spaces in n-normed spaces defined by Musielak-Orlicz function, Armen. J. Math. 3 (2010), 127-141.
Kuldip Raj, Sunil K. Sharma, Ajay K. Sharma, Some new sequence spaces defined by a sequence of modulus functions in n-normed spaces, Int. J. Math. Sci. & Engg. Appl. 5 (2011), 395-403.
Kuldip Raj, Amit Gupta, Sunil K. Sharma, Modular sequence spaces over n-normed spaces, J. Adv. Stud. Topol. 3 (2012), 43-51.
B. C. Tripathy, A. Esi, A new type of difference sequence spaces, Int. J. Sci. Tech. 1 (2006), 11-14.
B. C. Tripathy, A. Esi, B. Tripathy, On a new type of generalized difference Cesàro sequence spaces, Soochow J. Math. 31 (2005), 333-340.
B. C. Tripathy, S. Mahanta, On a class of sequences related to the lp space defined by Orlicz functions, Soochow J. Math. 29, (2003), 379-391.
A. Wilansky, Summability through Functional Analysis, North-Holland Math. Stud. 85, 1984.
J. Y. T. Woo, On modular sequence spaces, Studia Math. 48 (1973), 271-289.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
