Strongly (Vλ, A, Δ(Vm)n, P)-Summable Sequence Spaces Defined by an Orlicz Function

Abstract

We introduce the strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences and give the relation between the spaces of strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences and strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences with respect to an Orlicz function when A = (a(ik)) is an infinite matrix of complex numbers, Delta(n)((v,m)) is a generalized difference operator and p = (p(i)) is a sequence of positive real numbers. Also we give natural relationship between strongly (V-lambda, A,Delta(n)((vm)) p)-convergence with respect to an Orlicz function and strongly S-lambda (A,Delta(n)((vm)))-statistical convergence. (C) 2011 Elsevier Ltd. All rights reserved.