In this manuscript, the new sequence space ZΦ for Z ∈ {c, c₀, ℓ∞} and Φ = CmΔ have been introduced using the Cesàro matrix and backward difference operator. Some of the topological properties of these ...

Abstract: The work presents variable-, fractional-order backward difference of the Grünwald-Letnikov type. Variable and fractional-order in the name of the operator means that instead of constant, ...