Abstract
In this paper, considering A-statistical convergence instead of Pringsheim’s sense for double sequences, we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued Bögel-type continuous and periodic functions on the whole real two-dimensional space. A strong application is also presented. Furthermore, we obtain some rates of A-statistical convergence in our approximation.
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Dirik, F., Duman, O. & Demirci, K. Statistical approximation to Bögel-type continuous and periodic functions. centr.eur.j.math. 7, 539–549 (2009). https://doi.org/10.2478/s11533-009-0025-4
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DOI: https://doi.org/10.2478/s11533-009-0025-4