Weighted B-summability and positive linear operators

In the Korovkin-type approximation, more stronger results can be obtained by using the matrix summability method compared to the classical results in the literature. One of these summability methods, weighted B-summability, was defined by Mohiuddine in 2016 as the weighted summability of the B-transform of a sequence x to a number L. In this paper, we give a Korovkin-type theorem using the notion of weighted B-summability for sequences of positive linear operators on weighted spaces. We also study the rates of convergence of these operators.