Strongly (Vλ, A, P) -: Summable Sequence Spaces Defined by a Modulus

Abstract

We introduce the strongly (V-lambda, A, p) - summable sequences and give the relation between the spaces of strongly (V-lambda, A, p) - summable sequences and strongly (V-lambda, A, p) - summable sequences with respect to a modulus function when A = (a(ik)) is an infinite matrix of complex numbers and p = (p(i)) is a sequence of positive real numbers. Also we give natural relationship between strongly (V-lambda, A, p) - convergence with respect to a modulus function and strongly S-lambda(A) - statistical convergence.