An abstract version of the Korovkin approximation theorem
Copyright policy )An abstract version of the Korovkin approximation theorem
Using the \(A\)-statistical convergence, the authors establish first an analog of King's theorem, see \textit{J. P. King} [Acta Math. Hungar., 99, 203--208 (2003; Zbl 1027.41028)]. The main result of the paper is an abstract version of the Korovkin theorem, expressed in terms of statistical convergence. It is contained in Theorem 3.1. Finally, some applications are presented.
Linear operators on function spaces (general), A-density, the Korovkin theorem, Approximation by positive operators, A-statistical convergence, Rate of convergence, degree of approximation, statistical convergence, positive linear operators
Linear operators on function spaces (general), A-density, the Korovkin theorem, Approximation by positive operators, A-statistical convergence, Rate of convergence, degree of approximation, statistical convergence, positive linear operators
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