title: Weighted A-statistical convergence for sequences of positive linear operators.
abstract: 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.
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: S A
authors.initials: SA
authors.lastname: Mohiuddine
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Abdullah
authors.identifier: 0000-0001-7780-8137
authors.initials: A
authors.lastname: Alotaibi
authors.affiliation: Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791 112, India.
authors.forename: Bipan
authors.identifier: 0000-0002-0644-0600
authors.initials: B
authors.lastname: Hazarika
mesh_terms: D000465:Algorithms; D015233:Models, Statistical
references.citation: ScientificWorldJournal. 2013 Nov 05;2013:534054
references.pmid: 24305688