APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.18, pp.9132-9137, 2012 (Peer-Reviewed Journal)
Article / Article
APPLIED MATHEMATICS AND COMPUTATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Density, Statistical convergence, Weighted statistical convergence, Statistical summability ((N)over-bar, p(n)), Positive linear operator, Korovkin type approximation theorem, SUMMABILITY
Yıldız Technical University Affiliated:
The concept of weighted statistical convergence was introduced and studied by Karakaya and Chishti (2009) . In this paper, we modify the definition of weighted statistical convergence and find its relationship with the concept of statistical summability ((N) over bar, p(n)) due to Moricz and Orhan (2004) . We apply this new summability method to prove a Korovkin type approximation theorem by using the test functions 1, e(-x), e(-2x). We apply the classical Baskakov operator to construct an example in support of our result. (C) 2012 Elsevier Inc. All rights reserved.