Difference sequence spaces defined by a sequence of modulus functions
DOI:
https://doi.org/10.4067/S0716-09172011000200005Keywords:
Paranorm space, Difference sequence space, Modulus function.Abstract
In the present paper we study difference sequence spaces defined by a sequence of modulus functions and examine some topological properties of these spaces.
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References
[1] Bilgen, T., On statistical convergence , An. Univ. Timisoara Ser. Math. Inform. 32, pp. 3-7, (1994).
[2] Et, M. and Colak, R., On some generalized difference sequence spaces , Soochow J. Math., 21, pp. 377-386, (1965).
[3] Et, M., Altin, Y. and Altinok, H., On some generalized difference sequence spaces defined by a modulus functions , Filomat 17, 23-33, (2003).
[4] Kizmaz, H., On certain sequence spaces , Cand. Math. Bull., 24, pp. 169-176, (1981).
[5] Lindler, L., Uber de la Valle-Pousinsche Summierbarkeit Allgemeiner Orthogonal-reihen, Acta Math. Acad. Sci. Hungar, 16, pp. 375-387, (1965).
[6] Maddox, I. J., Elements of functional Analysis , Cambridge Univ. Press, (1970).
[7] Malkowsky, E. and Savas, E., Some λ-sequence spaces defined by a modulus, Archivum Mathematicum, 36, pp. 219-228, (2000).
[8] Savas, E., On some generalized sequence spaces defined by a modulus , Indian J. pure and Appl. Math., 30, pp. 459-464, (1999).
[9] Wilansky, A., Summability through Functional Analysis, North- Holland Math. stnd. (1984).
[2] Et, M. and Colak, R., On some generalized difference sequence spaces , Soochow J. Math., 21, pp. 377-386, (1965).
[3] Et, M., Altin, Y. and Altinok, H., On some generalized difference sequence spaces defined by a modulus functions , Filomat 17, 23-33, (2003).
[4] Kizmaz, H., On certain sequence spaces , Cand. Math. Bull., 24, pp. 169-176, (1981).
[5] Lindler, L., Uber de la Valle-Pousinsche Summierbarkeit Allgemeiner Orthogonal-reihen, Acta Math. Acad. Sci. Hungar, 16, pp. 375-387, (1965).
[6] Maddox, I. J., Elements of functional Analysis , Cambridge Univ. Press, (1970).
[7] Malkowsky, E. and Savas, E., Some λ-sequence spaces defined by a modulus, Archivum Mathematicum, 36, pp. 219-228, (2000).
[8] Savas, E., On some generalized sequence spaces defined by a modulus , Indian J. pure and Appl. Math., 30, pp. 459-464, (1999).
[9] Wilansky, A., Summability through Functional Analysis, North- Holland Math. stnd. (1984).
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Published
2011-12-10
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How to Cite
[1]
“Difference sequence spaces defined by a sequence of modulus functions”, Proyecciones (Antofagasta, On line), vol. 30, no. 2, pp. 189–199, Dec. 2011, doi: 10.4067/S0716-09172011000200005.
