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Generalized strongly almost summable difference sequences of order m defined by a sequence of moduli

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In this paper we introduce some new sequence spaces by using a sequence of moduli F = (fk), give some topological properties and inclusion relations related to these sequence spaces. We also give the beta-dual of [�c, F, p]infinity(delta m).
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581--591
Opis fizyczny
Bibliogr. 17 poz.
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Bibliografia
  • [1] R. Çolak, and M. Et, On Some generalized difference sequence spaces and related matrix transformations, Hokkaido Math. J. 26, No. 3 (1997), 483-492.
  • [2] M. Et and R. Çolak, On some generalized difference sequence spaces, Soochow J. Math. 21 (4) (1995), 377-386.
  • [3] M. Et and M. Başarir, On some new generalized difference sequence spaces, Periodica Math. Hung. (35) (3) (1997), 169-176.
  • [4] M. Et, Strongly almost summable difference sequences of order m defined by a modulus, Studia Scientiarum Math. Hungarica 40 (2003), 463-476.
  • [5] M. Et and A. ¸ Ç. Bektaş, Generalized strongly (V, ?)-summable sequences defined by Orlicz functions, Math. Slovaca, 54(4) (2004), 411-422.
  • [6] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24(2) (1981), 169-176.
  • [7] E. Kolk, On strong boundedness and summability with respect to a sequence of moduli, Acta Comment. Univ. Tartu, 960 (1993), 41-50.
  • [8] E. Kolk, Inclusion theorems for some sequence spaces defined by a sequence of moduli, Acta Comment. Univ. Tartu, 970 (1994), 65-72.
  • [9] G. G. Lorent z, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190.
  • [10] I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. 18 (1967), 345-355.
  • [11] I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
  • [12] I. J. Maddox, A new type of convergence, Math. Proc. Camb. Phil. Soc. 83 (1978), 61-64.
  • [13] I. J. Maddox, Sequence spaces defined by a moduli, Math. Proc. Camb. Phil. Soc. 100 (1986), 161-166.
  • [14] E. Malkowsky and S. D. Parashar, Matrix transformations in spaces of bounded and convergent difference sequences of order m, Analysis 17 (1997), 87-97.
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  • [16] W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math. 25 (1973), 973-978.
  • [17] B. C. Tripathy, M. Et and Y. Altin, Generalized difference sequence spaces defined by Orlicz functions in a locally convex space, J. Anal. Appl. 1(3), (2003), 175-192.
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bwmeta1.element.baztech-article-PWA3-0035-0008
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