Year: 2026
Type: article
Abstract: In the present work, we begin our investigation with some dynamic properties of new generalized difference operator ∆ α,β,γ h , defined in Baliarsingh [5].Combining this operator with the well known Cesàro operator, we also introduce new classes of generalized Cesàro summable difference sequence spaces w(∆ α,β,γ h , p), w 0 (∆ α,β,γ h , p) and w ∞ (∆ α,β,γ h , p), which are the natural extension of the spaces w p , w p 0 and w p ∞ defined in [12] and w 0 (p), w(p), and w ∞ (p) defined by Maddox [21].We establish various topological properties on these spaces along with some inclusion relations with other basic sequence spaces.Further, our investigation is carried out to determine α * -and β * -duals and characterize matrix transformations on these spaces.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7214049569