Difference sequence spaces defined by a sequence of modulus functions

• Raj, Kuldip ^[1] ; Sharma, Sunil K. ^[1]
  1. [1] Shri Mata Vaishno Devi University

     Shri Mata Vaishno Devi University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 2, 2011, págs. 189-199
• Idioma: inglés
• DOI: 10.4067/S0716-09172011000200005
• Enlaces
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• Resumen

  • In the present paper we study difference sequence spaces defined by a sequence of modulus functions and examine some topological properties of these spaces.

• Referencias bibliográficas
  • Citas [1] Bilgen, T., On statistical convergence , An. Univ. Timisoara Ser. Math. Inform. 32, pp. 3-7, (1994).
  • [2] Et, M. and Colak, R., On some generalized difference sequence spaces , Soochow J. Math., 21, pp. 377-386, (1965).
  • [3] Et, M., Altin, Y. and Altinok, H., On some generalized difference sequence spaces defined by a modulus functions , Filomat 17, 23-33,...
  • [4] Kizmaz, H., On certain sequence spaces , Cand. Math. Bull., 24, pp. 169-176, (1981).
  • [5] Lindler, L., Uber de la Valle-Pousinsche Summierbarkeit Allgemeiner Orthogonal-reihen, Acta Math. Acad. Sci. Hungar, 16, pp. 375-387,...
  • [6] Maddox, I. J., Elements of functional Analysis , Cambridge Univ. Press, (1970).
  • [7] Malkowsky, E. and Savas, E., Some λ-sequence spaces defined by a modulus, Archivum Mathematicum, 36, pp. 219-228, (2000).
  • [8] Savas, E., On some generalized sequence spaces defined by a modulus , Indian J. pure and Appl. Math., 30, pp. 459-464, (1999).
  • [9] Wilansky, A., Summability through Functional Analysis, North- Holland Math. stnd. (1984).