Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 86757, 6 pages
doi:10.1155/2007/86757
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

Recommended by Peter Yu Hin Pang

Abstract

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.