GENERALIZED VECTOR-VALUED PARANORMED SEQUENCE SPACES DETERMINED BY A SEQUENCE OF ORLICZ FUNCTIONS

We introduce a class of generalized vector-valued paranormed sequence spaces X[E, A, Delta(m)(v), M, p] by using a sequence of Orlicz functions M = (M-k), a nonnegative infinite matrix A = [a(nk)], a generalized difference operator Delta(m)(v) and a bounded sequence of positive real numbers p(k) with inf(k) p(k) > 0. The properties related to this space are studied under certain conditions. Some inclusion relations are obtained and a result related to the subspace with Orlicz functions satisfying the Delta(2)-condition is also proved.