Some Difference Double Sequences Spaces with Respect to Double Orlicz Function

  • Authors

    • Ali Hussain Battor
    • Dhuha Abdulameer Kadhim
    • Zainab Hayder Hasan
    https://doi.org/10.14419/ijet.v7i3.27.20183
  • .

  • Abstract

    This work concerned with studying of new difference double sequence spaces concerning with lacunary sequences with respect to double Orlicz function. Moreover, from this work we proved some inclusion relations involving these spaces.

  • References

    1. [1] Altay B &Basar F, “Some new spaces of double sequencesâ€, J. Math. Anal.Appl.,Vol.309, (2005), pp.70-90.

      [2] Alotaibi A, Mursaleen M &Raj K, “Double Sequence Spaces by Means of Orlicz Functionsâ€, Abstract and Applied Analysis, (2014).

      [3] BasarirM &Sonalcan O, “On Some Double Sequence Spacesâ€, Indian Academy of Mathematics Journal, Vol.21, No.2, (1999), pp. 193–200.

      [4] Battor AH &Hasan ZH, “Statistical Convergent of Generalized Difference Double Sequence Spaces which Defined by Orlicz Functionsâ€, M.Ss Thesis, Univ. of Kufa, (2017).

      [5] Freedman AR, Sember JJ &Raphael M, “Some Cesaro-type summability spacesâ€, Proc. London Math. Soc., Vol.37, No.3, (1978), pp.508-520.

      [6] Kizmaz H, “On certain sequence spacesâ€, Canad.Math.Bull.,Vol.24, No.2,(1981),pp.169-176.

      [7] Krasnoselskii MA &Rutitsky YB, “Convex function and Orlicz spacesâ€, Groningen, The Netherlands,(1961).

      [8] Lindenstrauss J &Tzafriri L, “On Orlicz sequence spacesâ€, Israel J. Math., Vol.10, No.3,(1971),pp.379-390.

      [9] Parashar SD &Choudhary B, “Sequence spaces defined by Orlicz functionsâ€, Indian Journal of Pure and Applied Mathematics, Vol.25, No.14,(1994), pp.419-428.

      [10] Tripathy BC & MahantaS, “On a class of generalized lacunary difference sequence spaces defined by Orlicz functionsâ€, Acta Math. Appl. Sinica (English Ser.), Vol.20, (2004), pp.231–238.

      [11] Tripathy BC &Sarma B, “On some classes of difference double sequence spacesâ€, Fasciculi Mathematici, Vol.41, (2009), pp.135-142.

      [12] Tripathy BC &Sarma B, “Some difference double sequence spaces defined by Orliczfunctionâ€, Kyungpook Mathematical Journal, Vol.58, (2008).

      [13] Tripathy BC &Sarma B, “Vector Valued Double Sequence Spaces Defined by OrliczFunctionâ€, Math. Slovaca, Vol.59,No.6, (2009), pp.767-776.

      [14] Öztürk E &Bilgin T, “Strongly summable sequence spaces defined by a modulusâ€,Indian J. Pure Appl. Math.,Vol.25, No.6,(1994), pp.621-625.

      [15] Yesembayeva Z, “Determination of the pedagogical conditions for forming the readiness of future primary school teachersâ€, Opción, Año, Vol.33, (2018), pp.475-499

      [16] Mussabekova G, Chakanova S, Boranbayeva A, Utebayeva A, Kazybaeva K & Alshynbaev K, “Structural conceptual model of forming readiness for innovative activity of future teachers in general education schoolâ€, Opción, Vol.34, No.85,(2018).

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  • How to Cite

    Hussain Battor, A., Abdulameer Kadhim, D., & Hayder Hasan, Z. (2018). Some Difference Double Sequences Spaces with Respect to Double Orlicz Function. International Journal of Engineering & Technology, 7(3.27), 663-667. https://doi.org/10.14419/ijet.v7i3.27.20183

    Received date: 2018-09-24

    Accepted date: 2018-09-24