Approximation via Statistical Convergence in the Sense of Power Series Method of Bögel-Type Continuous Functions

Abstract In this paper, we study Korovkin-type approximation for double sequences of positive linear operators defined on the space of all real valued %$B-%$continuous functions via the notion of statistical convergence in the sense of power series methods instead of Pringsheim convergence. We prese...
Ausführliche Beschreibung

Abstract In this paper, we study Korovkin-type approximation for double sequences of positive linear operators defined on the space of all real valued %$B-%$continuous functions via the notion of statistical convergence in the sense of power series methods instead of Pringsheim convergence. We present an interesting application that satisfies our new approximation theorem which wasn’t satisfied the one studied before. In addition, we derive the rate of convergence of the proposed approximation theorem. Finally, we give a conclusion for periodic functions. Ausführliche Beschreibung