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Warianty tytułu
Języki publikacji
Abstrakty
The space m(Φ) was introduced by sargent[14]and further studied by Malkowsky and Mursaleen [8] and Mursaleen [9]. In this paper we extend this space to m(M, Φ, p) and study some of its properties, inclusions relations and its relation with the Orlicz sequence space l(sub M).
Czasopismo
Rocznik
Tom
Strony
61--69
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Department of Mathematics A. M. U. Aligarh-202002, INDIA, vakhan@math.com
Bibliografia
- [1] Chen, S. T, Geometry of Orlicz spaces, Dissertationes Math. (The Institute of Mathematics, Polish Academy of Sciences) (1996).
- [2] Esi, A., and Et, M. , Some new sequence spaces defined by a sequnce of Orlicz functions, Indian J. Pure Appl. Math., 31:967-972 (2000).
- [3] Et, M., On some new Orlicz sequence spaces, J. Analysis, 9: 21-28 (2001).
- [4] Krasnoselskii, M. A., and Rutickii, Ya. B, Convex functions and Orlicz spaces,- Gooningen: P.Nordhoff Ltd.) (1961) (translation).
- [5] Lindenstrauss, J. and Tzafriri, L., On Orlicz sequence spaces, Israel J. Math., 10: 379-390 (1971).
- [6] Luxemburg, W. A., Banach function spaces, Thesis (Delft) (1955).
- [7] Maligranda, L, Orlicz spaces and interpolation, Seminar in Math. 5, Campinas (1989).
- [8] Malkowsky, E., and Mursaleen, Matrix transformations between FK-spaces and the sequence sapces m(φ) and n(φ), J. Math. Anal. Appl., 196:659-665 (1995).
- [9] Mursaleen, Some geometric properties of a sequence space related to l(p), Bull. Aust. Math. Soc., 67:343-347 (2003).
- [10] Musielak J, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034 (Springer- Verlag) (1983).
- [11] Orlicz, W., Ü ber Raume (LM), Bulletin International de 1'Académie Polonaise des Sciences et des Letters, Serie A, 93 - 107 (1936).
- [12] Parashar, S.D., and Choudhary, B., Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 25:419-428 (1994).
- [13] Rao, M. M, and Ren, Z. D, Theory of Orlicz spaces (New York, Basel, Hong Kong: Marcel Dekker Inc.) (1991).
- [14] Sargent, W.L.C., Some sequence spaces related to the l(p) spaces, J. London Math. Soc., 35:161-171 (1960).
- [15] Tripathy, .B.C., and Mahanta, S., On a class of sequences related to the l(p) space denned by Orlicz functions, Soochow J.Math., 29: 379-391(2003).
- [16] Tripathy, B.C., and Sen,M.: On a new class of sequences related to the space l(p) Tamkang J. Math., 33: 167-171 (2002).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0031-0021