Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions

UDC 517.9 In this paper, we introduced a class of generalized vector-valued paranormed sequence space X [ E , A , Δ v m , M , p ] by using a sequence of Orlicz functions M = ( M k ) , a non-negative infinite matrix A = [ a n k ] , generalized difference operator Δ v m and bounded sequence of positive real numbers p k with inf k p k > 0 . Properties related to this space are studied under certain conditions. Some inclusion relations are obtained and a result related to subspace with Orlicz functions satisfying Δ 2 -condition has also been proved.