Weighted statistical convergence and its application to Korovkin type approximation theorem


Mursaleen M., KARAKAYA V. , Erturk M. , Gursoy F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, ss.9132-9137, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 218 Konu: 18
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2012.02.068
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.9132-9137

Özet

The concept of weighted statistical convergence was introduced and studied by Karakaya and Chishti (2009) [7]. 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) [10]. 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.