Lacunary Ap-Summable Sequence Spaces Defined by Orlicz Functions

Abstract

In this paper we introduce some new sequence spaces combining a lacunary sequence, an infinite matrix, a bounded sequence and an Orlicz function. We discuss some topological properties and establish some inclusion relations between these spaces. It is also shown that if a sequence is lacunary A(p)-convergent with respect to an Orlicz function then it is lacunary strongly S-theta(A)-statistically convergent.