On Semi Uniform Alpha Convergence and a Korovkin-Type Theorem

Erdem, Alper | Arpacıoğlu, Ali | Tunç, Tuncay

In this paper, we introduce the notion of semi uniform alpha convergence for sequences of functions between metric spaces. We also provide some results concerning the relationship between uniform exhaustiveness, semi uniform exhaustiveness and semi uniform alpha convergence. Finally, we give a Korovkin-type theorem related to uniform exhaustiveness.