Some difference sequences defined by a sequence of modulus functions.

• Autores: Ahmad H. A. Batained, Ibrahim M. A. Sulaiman
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 29, Nº. 1, 2010, págs. 1-8
• Idioma: inglés
• DOI: 10.4067/10.4067/S0716-09172010000100001
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• Resumen

  • The idea of difference sequence spaces was introduced by Kizmaz [6], and this concept was generalized by Bektas and Colak [1]. In this paper, we define the sequence spaces and , where F = (fk) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces.

• Referencias bibliográficas
  • Bektas, Cigdem, A. and Colak, R., Generalized difference sequence spaces defined by a sequence of modulli, Soochow J. Math., 29(2), pp. 215-220,...
  • Et., M. and Colak, R., On some generalized difference sequence spaces, Soochow J. Math., 21, pp. 377-386, (1995).
  • Gaur, A. K. and Mursaleen, Difference sequence spaces, Internat. J. Math. & Math. Sci., 21(4), pp. 701-706, (1998).
  • Gnanaseelan, C. and Srivastava, P. D., The α−,β−,γ−duals of some generalized difference sequence spaces, Indain J. Math., 38(2), pp. 111-120,...
  • Kamthan, P. K. and Gupta, M., Sequence spaces and series, Lecture Notes in Pure and Applied Mathematics, vol. 65 , Marcel Dekker, New York,...
  • Kizmaz, H., On certain sequence spaces, Canad. Math. Bull. 24, pp. 169-176, (1981).
  • Kolk, E., Inclusion theorems for some sequence spaces defined by a sequence of modulli, Acta Comment. Univ. Tartu, 970, pp. 65-72, (1994).
  • Maddox, I. J., Some properties of paranormed sequence spaces, J. London Math. Soc. 1, pp. 316-322, (1969).
  • Maddox, I. J. , Paranormed sequence spaces generated by infinite matrices, Proc. Camb. Phil. Soc., 64, pp. 431-435, (1969).
  • Maddox, I. J., Elements of Functional Analysis, 2nd Edition, Cambridge University Press, (1970).
  • Maddox, I. J., Sequence spaces defined by a modulus, Math. Proc. Camb. Phil. Soc. 100, pp. 161-166, (1986).
  • Oztürk, E. and Bilgen, T., Strongly summable sequence spaces defined by a modulus, Indian J. Pure Appl. Math. 25(6), pp. 621-625, (1994).
  • Ruckle, W. H., FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math. 25, pp. 973-978, (1973).