Orlicz strongly convergent sequences with some applications to Fourier series and statistical convergence

Abstract

Abstract:In the present work we introduce and study some strongly convergent sequence spaces of Orlicz functions using infinite matrix over n-normed spaces. We study some algebraic and topological properties of these sequence spaces. A necessary and sufficient condition for strongly convergent sequences is obtained. Finally, we study some applications of these sequences for Fourier series and statistical convergence.