SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES

摘要

In this paper,we define a new generalized diference sequence space involving lacunary sequence.Then,we examine k-NUC property and property(β) 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∈N.