Some Sets Of Double Lacunary Invariant Sequences Definied By Four Dimensional Summable Matrices And Orlicz Functions

Abstract

The paper introduces some sets of double lacunary invariant sequences defined by four dimensional RH-regular matrices and Orlicz functions. First we study some basic properties of such sets by equipping them with linear topological structure. Further, we investigate some relationships among such sets under different conditions and finally compare with a set of double lacunary statistically convergent sequences.