Atıf İçin Kopyala
Oksuzer O., KARSLI H., TAŞDELEN YEŞİLDAL F.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.37, sa.5, ss.583-602, 2016 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
37
Sayı:
5
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Basım Tarihi:
2016
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Doi Numarası:
10.1080/01630563.2015.1137938
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Dergi Adı:
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.583-602
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Anahtar Kelimeler:
Bernstein-Stancu polynomials, convergence in variation seminorm, variation detracting property, Voronovskaya-type theorems, OPERATORS
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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.