Weighted statistical convergence and its application to Korovkin type approximation theorem
APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.18, ss.9132-9137, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 218 Sayı: 18
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.amc.2012.02.068
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.9132-9137
- Anahtar Kelimeler: Density, Statistical convergence, Weighted statistical convergence, Statistical summability ((N)over-bar, p(n)), Positive linear operator, Korovkin type approximation theorem, SUMMABILITY
- Yıldız Teknik Üniversitesi Adresli: Evet
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.