Some I-lacunary difference double sequences in N-normed spaces defined by sequence of orlicz functions

Abstract

The notion of ideal convergence was introduced first by Kostryko et al [16] as a generalization of statistical convergence. In this paper we introduce a new class of generalized difference double sequence spaces using the concept of ideal, lacunary convergence and sequence of Orlicz functions in n-normed space. Further we obtain various inclusion relations involving these sequence spaces.