Proyecciones Journal of Mathematics
Vol. 29, N° 1, pp. 1-8, May 2010.
Universidad Católica del Norte
Antofagasta - Chile


SOME DIFFERENCE SEQUENCES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS


Ahmad H. A. Bataineh
Ibrahim M. A. Sulaiman

Al Al-Bayt University, Jordan


Correspondencia a:

Abstract

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 = (f_k) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces.

Subclass [2000] : 40A05, 40C05, 46A45.

Keywords : Difference sequence spaces, A sequence of modulus functions.

References

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Received : November 2009. Accepted : January 2010

Ahmad H. A. Bataineh
Department of Mathematics
Al al-Bayt University
P. O. Box 130095 Mafraq
Jordan
e-mail : ahabf2003@yahoo.ca


Ibrahim M. A. Sulaiman
Department of Mathematics
Al al-Bayt University
P. O. Box 130095 Mafraq
Jordan
e-mail : himo717@yahoo.com