Lacunary strongly (A, φ)I-convergent sequences defined by a modulus function.

In this paper we introduce and study some new sequences of lacunary strongly (A, φ)I-convergent sequences defined by a modulus function. They are defined using by a φ-function, a A = (ank) real matrix and an ideal I of positive integers. We define Nθ(A,φ,f)I and Sθ(A,φ)I spaces and study their relation. [ABSTRACT FROM AUTHOR]