Summary: The difference sequence space
, which is a generalization of the space
introduced and studied by W. L. C. Sargent
[J. Lond. Math. Soc. 35, No. 2, 161–171 (1960; Zbl 0090.03703
)], was defined by R. Çolak
and M. Et
[Bull. Malays. Math. Sci. Soc. (2) 28, No. 2, 125–130 (2005)]. In this paper, we establish some geometric inequalities for this space.