Euler I-convergence and its associated sequence spaces

Abstract

Present work is an investigation of some new sequence spaces $c^{I}_{0}(e^{r})$, $c^{I}(e^{r})$, $\ell^{I}_{\infty}(e^{r})$ and $\ell_{\infty}(e^{r})$ as a domain of triangle Euler matrix via ideal convergence over an admissible ideal of $\mathbb{N}$. Also, defining some algebraic, topological properties and inclusion relations on these spaces.