Approximation by Stancu-Chlodowsky polynomials
COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.1, ss.274-282, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 59 Sayı: 1
- Basım Tarihi: 2010
- Doi Numarası: 10.1016/j.camwa.2009.07.054
- Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.274-282
- Gazi Üniversitesi Adresli: Hayır
Özet
In this paper, we investigate convergence and approximation properties of a Chlodowsky type generalization of Stancu polynomials (we called Stancu-Chlodowsky polynomials). The rates of convergence of this generalization are obtained by means of modulus of continuity and by using the K-functional of Peetre. We also present and prove theorems on weighted approximation and the order of approximation of continuous functions by these operators on all positive semi-axis. (C) 2009 Elsevier Ltd. All rights reserved.