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

Authors

  • N. Subramanian

    Sastra University
  • Ayhan Esi

    Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey

How to Cite

Subramanian, N., & Esi, A. (2015). The generalized triple difference of \(\chi^{3}\) sequence spaces. Global Journal of Mathematical Analysis, 3(2), 54-60. https://doi.org/10.14419/gjma.v3i2.4412

Received date: February 26, 2015

Accepted date: March 24, 2015

Published date: March 26, 2015

DOI:

https://doi.org/10.14419/gjma.v3i2.4412

Keywords:

Gai sequence, Analytic sequence, Triple sequence, Difference sequence.

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.

References

  1. [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.

Downloads

How to Cite

Subramanian, N., & Esi, A. (2015). The generalized triple difference of \(\chi^{3}\) sequence spaces. Global Journal of Mathematical Analysis, 3(2), 54-60. https://doi.org/10.14419/gjma.v3i2.4412

Received date: February 26, 2015

Accepted date: March 24, 2015

Published date: March 26, 2015