Weighted A-statistical convergence for sequences of positive linear operators.
S A MohiuddineAbdullah AlotaibiBipan HazarikaPublished in: TheScientificWorldJournal (2014)
We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a rate of weighted A-statistical convergence and apply the classical Bernstein polynomial to construct an illustrative example in support of our result.