Approximation in triangular statistical sense to B-continuous functions by positive linear operators

The main object of this paper is to prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued B-continuous functions on a compact subset of the real line using a new type of statistical convergence of double sequences called triangular-A-statistical convergence for double real sequences. We give an illustrative example in support of our result. Finally, we investigate a rates of triangular-A-statistical convergence of positive linear operators. © 2018, Universitatii Al.I.Cuza din Iasi. All rights reserved.