On the Convergence of Bernstein-Stancu Polynomials in the Variation Seminorm

Oksuzer O., KARSLI H., TAŞDELEN YEŞİLDAL F.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.37, sa.5, ss.583-602, 2016 (SCI-Expanded, Scopus) identifier identifier

  • 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.