On the Convergence of Bernstein-Stancu Polynomials in the Variation Seminorm
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.37, sa.5, ss.583-602, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 5
- Basım Tarihi: 2016
- Doi Numarası: 10.1080/01630563.2015.1137938
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.583-602
- Anahtar Kelimeler: Bernstein-Stancu polynomials, convergence in variation seminorm, variation detracting property, Voronovskaya-type theorems, OPERATORS
- Ankara Üniversitesi Adresli: Evet
Özet
This article studies the variation detracting property and rate of approximation of the Bernstein-Stancu polynomials in the space of functions of bounded variation with respect to the variation seminorm. Moreover, we will present Voronovskaya-type theorems for Bernstein-Stancu polynomials B(n,alpha,beta)f and for the first derivative of these polynomials. Finally we include some graphical examples.