Some geometric properties of a new difference sequence space involving lacunary sequences

Abstract

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (?) for this space and also show that it is not rotund where p = (pr) is a bounded sequence of positive real numbers with pr ? 1 for all r ? ?. © 2013 Wuhan Institute of Physics and Mathematics.