WeightedA-Statistical Convergence for Sequences of Positive Linear Operators

摘要

We introduce the notion of weightedA-statistical convergence of a sequence, whereArepresents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weightedA-statistical convergence. Further, we give a rate of weightedA-statistical convergence and apply the classical Bernstein polynomial to construct an illustrative example in support of our result.