Savas, E.Rhoades, B.E.2025-05-102025-05-1020021331-434310.7153/mia-05-302-s2.0-0036000436https://doi.org/10.7153/mia-05-30https://hdl.handle.net/20.500.14720/6363The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of a Orlicz function, invariant mean and lacunary convergence. We also examine some topological properties of these spaces and establish some elementary connections between lacunary [w]σ -convergence and lacunary [w]σ -convergence with respect to an Orlicz functions which satisfy a Δ2 -condition.eninfo:eu-repo/semantics/openAccessInvariant MeanLacunary SequenceOrlicz FunctionArticle52Q2Q2271281WOS:000175630800013