Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 86757, 6 pages
Research Article

Some Geometric Inequalities in a New Banach Sequence Space

M. Mursaleen,1 Rifat Çolak,2 and Mikail Et2

1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2Department of Mathematics, Firat University, Elazığ 23119, Turkey

Received 11 July 2007; Accepted 18 November 2007

Academic Editor: Peter Yu Hin Pang

Copyright © 2007 M. Mursaleen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The difference sequence space m(φ,p,Δ(r)), which is a generalization of the space m(φ) introduced and studied by Sargent (1960), was defined by Çolak and Et (2005). In this paper we establish some geometric inequalities for this space.