A paranormed fractional ordered Euler–Riesz difference sequence space

Abstract

In this study, we introduce a novel sequence space denoted as [Formula: see text] with a fractional order [Formula: see text]. This new space is defined by the matrix [Formula: see text], which is a composition of the Euler–Riesz matrix [Formula: see text] and the fractional ordered difference operator [Formula: see text]. We explore its topological properties along with its [Formula: see text]-, [Formula: see text]-, and [Formula: see text]-duals. Furthermore, we provide characterizations for certain matrix mappings from [Formula: see text] to the sequence spaces of Maddox.