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In this paper we define (...), the sequence spaces on a seminormed complex linear space, using an Orlicz function. We give various properties and some inclusion relations on this space.
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Czasopismo
Rocznik
Tom
Strony
585--592
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
- Department Of Statistics Firat University 23119, Elazig, Turkey, misik63@yahoo.com
Bibliografia
- [1] Z. U. Ahmad, M. Mursaleen, An application of Banach limits, Proc. Amer. Math. Soc. 103 (1988), 244–246.
- [2] Y. Altin, M. Et, B. C. Tripathy, The sequence space | ¯Np|(M, r, q, s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423–430.
- [3] Y. Altin, Properties of some sets of sequences defined by a modulus function, Acta Math. Sci. (English Ed.) 29 (2009), 427–434.
- [4] S. Banach, Theorie des Operations Linearies, Warszawa, 1932.
- [5] B. Choudhary, S. D. Parashar, A sequence space defined by Orlicz functions, Approx. Theory Appl. (N.S.) 18(4) (2002), 70–75.
- [6] M. Et, Y. Altin, B. Choudhary, B. C. Tripathy, On some classes of sequences defined by sequences of Orlicz functions, Math. Inequal. Appl. 9 (2006), 335–342.
- [7] V. A. Khan, On Riesz–Musielak–Orlicz sequence spaces, Numer. Funct. Anal. Optim. 2
- [8] P. K. Kamthan, M. Gupta, Sequence Spaces and Series, Lecture Notes in Pure and Applied Mathematics, 65, Marcel Dekker Inc., New York, 1981.
- [9] M. A. Krasnoselskii, Y. B. Rutickii, Convex Functions and Orlicz Spaces, Groningen, Netherlands, 1961.
- [10] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379–390.
- [11] G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167–190.
- [12] I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. ( Oxford 2nd Ser.) 18(72) (1967), 345–355.
- [13] M. Mursaleen, On some new invariant matrix methods of summability, Quart. J. Math. Oxford 34(2) (1983), 77–86.
- [14] M. Mursaleen, Matrix transformations between some new sequence spaces, Houston J. Math. 9 (1983), 505–509.
- [15] M. Mursaleen, Q. A. Khan, T. A. Chishti, Some new convergent sequences defined by Orlicz functions and statistical convergence, Ital. J. Pure Appl. Math. 9 (2001), 25–32.
- [16] W. Orlicz, Über Räume (LM), Bull. Int. Acad. Polon. Sci. A (1936), 93–107.
- [17] R. A. Raimi, Invariant means and invariant matrix method of summability, Duke Math. J. 30 (1963), 81–94.
- [18] P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104–110.
- [19] P. D. Srivastava, Ghosh, K. Dalim, On vector valued sequence spaces hN(Ek), ℓM(B(Ek, Y )) and ℓM(E′k)), J. Math. Anal. Appl. 327 (2007), 1029–1040.
- [20] B. C. Tripathy, S. Mahanta, On a class of sequences related to the ℓp spaces defined by Orlicz function, Soochow J. Math. 29 (2003), 379–391.
- [21] B. C. Tripathy, S. Mahanta, On a class of generalized lacunary difference sequence spaces defined by Orlicz functions, Acta Math. Appl. Sinica (English Ser.) 20 (2004), 231–238.
- [22] B. C. Tripathy, M. Sen, Characterization of some matrix classes involving paranormed sequence spaces, Tamkang J. Math. 37 (2006), 155–162.
- [23] B. C. Tripathy, Y. Altin, M. Et, Generalized difference sequence spaces on seminormed space defined by Orlicz functions, Math. Slovaca 58 (2008), 315–324.
- [24] B. C. Tripathy, B. Sarma, Sequence spaces of Fuzzy real numbers defined by Orlicz functions, Math. Slovaca 58 (2008), 621–628.
- [25] B. C. Tripathy, H. Dutta, On some new paranormed difference sequence spaces defined by Orlicz functions, Kyungpook Math. J. 50 (2010), 59–69.
- [26] B. C. Tripathy, B. Sarma, Vector valued double sequence spaces defined by Orlicz function, Math. Slovaca 59 (2009), 767–776.
- [27] A. Wilansky, Functional Analysis, Blaisdell Publishing Company, New York, 1964.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0008