(λ, ʋ) Statistical Convergence on a Product Time Scale

Abstract

We give definition of (λ,v) statistical convergence on a product time scale. Furthermore, we generalize de la Vallee Poussin mean ´ and define strongly (V,λ,v) and [V,λ,v] p Ψ2 summable functions, statistical limit superior and inferior on a product time scale. Then, a few inclusion relations are expressed between the sets of (V,λ,v) summable, p strongly [V,λ,v] p Ψ2 summable and (λ,v) statistical convergent functions. Furthermore, some theorems are proved related to statistical limit superior and inferior on a product time scale.