Ir al contenido

Documat


A new type of difference operator Δ3 on triple sequence spaces.

  • Das, Bimal Chandra [1]
    1. [1] Tripura University

      Tripura University

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 4, 2018, págs. 683-697
  • Idioma: inglés
  • DOI: 10.4067/s0716-09172018000400683
  • Enlaces
  • Resumen
    • In this paper we have introduced and investigated the difference triple sequence spaces c³0(Δ³), c³(Δ³), c³R(Δ³), ????³∞(Δ³) and c³B(Δ³) applying the difference operator Δ³, on the triple sequence (xlmn) and studied some of their algebraic and topological properties. We have also proved some inclusion relation involving these sequence spaces.

  • Referencias bibliográficas
    • A. Esi, Some new sequence spaces defined by a modulus function, Istanbul Univ Fen Fak Mat Derg., 55/56: pp. 17-21, (1996/97).
    • A. Esi and B. C. Tripathy, Strongly almost convergent generalized difference sequences associated with multiplier sequences, Math. Slovaca,...
    • A. J. Datta, A. Esi , B. C. Tripathy , Statistically convergent triple sequence spaces defined by Orlicz function, J. Math. Anal., 4(2), pp....
    • A. Sahiner, M. Gurdal and K. Duden, Triple sequences and their statistical convergence, Selcuk. J. Appl. Math., 8(2), pp. 49-55, (2007).
    • A. Pringsheim, Zurtheorie der zweifachunendlichenzahlenfolgen, Math. Ann., 53, pp. 289-321, (1900).
    • B. C. Das, Some I-convergent triple sequence spaces defined by a sequence of modulus function, Proyecciones J. Math., 36(1), pp. 117-130,...
    • B. C. Das, Six Dimensional Matrix Summability of Triple Sequences, Proyecciones J. Math. , 36(3), pp. 499-510, (2017).
    • B. C. Tripathy , On generalized difference paranormed statistically convergent sequences, Indian J. Pure Appl. Math., 35 (5), pp. 655-663,...
    • B. C. Tripathy and B. Sarma, Statistically convergent difference double sequence spaces, Acta Math. Sinica, 24(5), pp. 737-742, (2008).
    • B. C. Tripathy , B. Choudhary andB. Sarma. , On some new type generalized difference sequence spaces, Kyungpook Math. J., 48(4), pp. 613-622,...
    • B. C. Tripathy and H. Dutta., On some new paranormed difference sequence spaces defined by Orlicz functions, Kyungpook Math. J. , 50(1), pp....
    • B. C. Tripathy andH. Dutta., On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δn m- statistical...
    • B. C. Tripathy and R. Goswami., On triple difference sequences of real numbers in probabilistic normed spaces, Proyecciones Jour. Math., 33(2),...
    • E. Savas and R. F. Patterson , Double Sequece Spaces Defined by a Modulus, Math. Slovaca , 61, pp. 245-256, (2011).
    • E. Saves andA. Esi , Statistical Convergence of Triple Sequences on Probabilistic Normed Spaces, An. Univ. Craiova Ser. Mat. Inform., 39(2),...
    • H. Kizmaz, On certain sequence spaces, Canad. Math. Bull., 24(2), pp. 169-176, (1981).
    • I. J. Maddox, Sequece Spaces Defined by a Modulus, Math. Proc. Cambridge Philos. Soc., 100, pp. 161-166, (1986).
    • M. Et andA. Esi , On Kothe-Toeplitz duals of generalized difference Sequence Spaces, Bul. Malaysian Math. Sci. Soc., (Second Series), 23,...
    • M. Et and R. Colak, On some generalized difference sequence spaces, Soochow J. Math., 21, pp. 377-386, (1995).
    • S. Debnath, B. C. Das, Some new type of difference triple sequence spaces, Palestine J. Math., 4 (2), pp. 284-290, (2015).
    • S. Debnath , B. Sharma, B. C. Das , Some generalized triple sequence spaces of real numbers, J. Nonlinear Anal. Opti., 6 (1), pp. 71-79,(2015).
    • S. Debnath , B. C. Das , D. Bhattacharya, J. Debnath, Regular matrix transformation on triple sequence spaces. Bol. Soc. Paran. Mat., 35 (1),...
    • W. H. Ruckle, On perfect Symmetric BK-spaces, Math. Ann. , 175, pp. 121-126, (1968)

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno