The Dunkl transform is a sophisticated generalisation of the classical Fourier transform, incorporating differential‐difference operators that are defined in relation to reflection groups. This ...

Special classes of functions on the classical semigroup ℕ of non-negative integers, arising through the mechanism of difference operators, can be associated in a natural way with special classes of ...

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 ...

Consider the time series y t: where f(t) is an unknown smooth function and is an iid random variable with zero mean and positive variance . Whittaker (1923) provides the solution, which balances a ...