Approximation by Means of Kantorovich-Stancu Type Operators

SUCU S., Ibikli E.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, sa.5, ss.557-575, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/01630563.2012.716806
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.557-575
  • Anahtar Kelimeler: Approximation in Lp[0, 1], Kantorovich operators, Korovkin theorem, Modulus of continuity, Rate of convergence
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of this article is to give a Kantorovich generalization of Stancu type polynomials. We obtain convergence properties of our operators in the continuous function space and Lebesgue spaces. Furthermore, we get the order of approximation with the help of modulus of continuity and give a numerical example for approximation.