The generalized triple difference of \(\chi^{3}\) sequence spaces

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this paper we define some new sequence spaces and give some topological properties of the sequence spaces \(\chi^{3}\left( \Delta_{v}^{m},s, p\right)\) and \(\Lambda^{3}\left( \Delta_{v}^{m},s, p\right) \) and investigate some inclusion relations.

  • Keywords

    Gai sequence; Analytic sequence; Triple sequence; Difference sequence.

  • References

      [1] T.Apostol, Mathematical Analysis, Addison-Wesley , London, 1978.

      [2] Esi : A.Esi and E. Sava»s, On lacunary statistically convergent triple sequences in probabilistic normed space,Appl.Math.and Inf.Sci., 9(2015)(To appear).

      [3] Esi : A.Esi , On some triple almost lacunary sequence spaces defined by Orlicz functions, Research and Reviews:Discrete Mathematical Structures, 1(2), (2014), 16-25.

      [4] Esi : A.Esi and M.Necdet Catalbas,Almost convergence of triple sequences, Global Journal of Mathematical Analysis, 2(1), (2014), 6-10.

      [5] Sahiner : A. Sahiner, M.Gurdal and F. K. Duden, Triple sequences and their statistical convergence, Selcuk J. Appl. Math. , 8 No. (2)(2007), 49-55.

      [6] Hardy : G.H.Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19 (1917), 86-95.

      [7] Subramanian : N.Subramanian and U.K.Misra, Characterization of gai sequences via double Orlicz space, Southeast Asian Bulletin of Mathematics, (revised).

      [8] Subramanian : N.Subramanian, B.C.Tripathy and C.Murugesan, The double sequence space of Γ², Fasciculi Math. , 40, (2008), 91-103.

      [9] Subramanian : N.Subramanian, B.C.Tripathy and C.Murugesan, The Cesaro of double entire sequences, International Mathematical Forum, 4 no.2(2009), 49-59.

      [10]Kamthan : P.K.Kamthan and M.Gupta, Sequence spaces and series, Lecture notes, Pure and Applied Mathematics, 65 Marcel Dekker, In c., New York , 1981.




Article ID: 4412
DOI: 10.14419/gjma.v3i2.4412

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