Convergence rate of a new Bezier variant of Chlodowsky operators to bounded variation functions
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.212, sa.2, ss.431-443, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 212 Sayı: 2
- Basım Tarihi: 2008
- Doi Numarası: 10.1016/j.cam.2006.12.020
- Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.431-443
- Anahtar Kelimeler: approximation, bounded variation, Chlodowsky polynomials, Bezier basis, total variation, rate of convergence
- Ankara Üniversitesi Adresli: Evet
Özet
In the present paper, we estimate the rate of pointwise convergence of the Bezier Variant of Chlodowsky operators C-n,C-alpha for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory. (C) 2007 Elsevier B.V. All rights reserved.