Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence

Abstract

In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence. We make an effort to examine some algebraic and topological properties of these sequence spaces. Some inclusion relation between these sequence spaces have been established.

Keywords

• orlicz function
• infinite matrix
• lacunary sequence
• arithmetic convergence
• matrix transformation