Strongly [formula omitted]-summable sequence spaces defined by an Orlicz function

Abstract

We introduce the strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences and give the relation between the spaces of strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences and strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences with respect to an Orlicz function when A = ( a i k ) is an infinite matrix of complex numbers, Δ ( v m ) n is a generalized difference operator and p = ( p i ) is a sequence of positive real numbers. Also we give natural relationship between strongly ( V λ , A , Δ ( v m ) n , p ) -convergence with respect to an Orlicz function and strongly S λ ( A , Δ ( v m ) n ) -statistical convergence.