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Sequence spaces defined by a sequence of modulus function in n-normed spaces

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Języki publikacji
EN
Abstrakty
EN
In the present paper we introduce the sequence spaces defined by a sequence of modulus function F = (fk) in n-normed spaces. We study some topological properties and prove some inclusion relations between these spaces.
Rocznik
Tom
Strony
113--125
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
  • School of Mathematics Shri Mata Vaishno Devi University Katra-182320, J&K, India
autor
  • School of Mathematics Shri Mata Vaishno Devi University Katra-182320, J&K, India
Bibliografia
  • [1] Altinok H., Altin Y., Isik M., The sequence space BvCT(M,P, Q, S) on seminormed spaces, Indian J. Pure and Appl. Math., 39(1)(2008), 49-58.
  • [2] Et M., Colak R., On some generalized difference sequence spaces, Soochow J. Math., 21(4(1995), 377-386.
  • [3] Gahler S., Linear 2-normietre rume, Math. Nachr., 28(1965), 1-43.
  • [4] Gunawan H., On n-inner product, n-norms, and the Cauchy-Schwartz in¬equality, Sci. Math. Jpn., 5(2001), 47-54.
  • [5] Gunawan H., The space of p-summable sequence and its natural n-norm, Bull. Aust. Math. Soc., 64(2001), 137-147.
  • [6] Gunawan H., Mashadi M., On n-normed spaces, Int. J. Math. Math. Sci., 27(2001), 631-639.
  • [7] Kizmaz H., On certain sequence spaces, Cand. Math. Bull., 24(2)(1981), 169-176.
  • [8] Lorentz G.G., A contribution to the theory of divergent series, Act. Math., 80(1948), 167-190.
  • [9] Maddox I.J., Spaces of strongly summable sequences, Quart. J. Math., 18(1967), 345-355.
  • [10] Maddox I.J, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
  • [11] Maddox I.J., A new type of convergence, Math. Proc. Camb. Phil. Soc., 83(1978), 61-64.
  • [12] Malkowsky E., Savas E., Some A-sequence spaces defined by a modulus, Archivum Mathematicum, 36(2000), 219-228.
  • [13] Misiak A., n-inner product spaces, Math. Nachr., 140(1989), 299-319.
  • [14] Nanda S., Strongly almost convergent sequences, Bull. Call. Math. Soc., 76(1984), 236-240.
  • [15] Raj K., Sharma S.K., Sharma A.K., Some new sequence spaces defined by a sequence of modulus function in n-normed spaces, Int. J. Math. Engg. Appls., 5(2)(2011), 395-403.
  • [16] Raj K., Sharma S.K., Sharma A.K., Difference sequence spaces in n-normed spaces defined by Musielak-Orlicz functions, Armenian J. Math., 3(2010), 127-141.
  • [17] Raj K., Sharma S.K., Difference sequence spaces defined by sequence of modulus function, Proyecciones J. Math., 30(2011), 189-199.
  • [18] Raj K., Sharma S.K., Some difference sequence spaces defined by sequence of modulus function, Int. J. Math. Archive, 2(2011), 236-240.
  • [19] Wilansky A., Summability through Functional Analysis, North-Holland Math. Stud., 1984.
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Bibliografia
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