Fractional ordered Euler Riesz sequence space

Abstract

The main objective of this article is to introduce Euler-Riesz difference sequence spaces of fractional order ${\tau} $ along with infinite matrices. Some topological properties of these spaces are considered here along with the Schauder basis, ${\alpha} -,\beta -$ and $\gamma -$duals of the spaces. Keywords: Euler-Riesz difference sequence space, difference operator $\left(\Delta ^{\tau} \right)$, Schauder basis, infinite matrices and ${\alpha} -,\beta -$ and $\gamma -$duals .