Approximation by Means of Kantorovich-Stancu Type Operators

SUCU S., Ibikli E.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, no.5, pp.557-575, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1080/01630563.2012.716806
  • Journal Name: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.557-575
  • Keywords: Approximation in Lp[0, 1], Kantorovich operators, Korovkin theorem, Modulus of continuity, Rate of convergence
  • Ankara University Affiliated: Yes

Abstract

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.