Kantorovich-Stancu type operators including Boas-Buck type polynomials

ÇEKİM B., AKTAŞ R., İÇÖZ G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.48, no.2, pp.460-471, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.15672/hjms.2017.528
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.460-471
  • Keywords: Szasz operator, modulus of continuity, rate of convergence, Boas-Buck type polynomials, Gould-Hopper polynomials, Charlier polynomials, LINEAR POSITIVE OPERATORS, SZASZ, APPROXIMATION
  • Gazi University Affiliated: Yes

Abstract

The aim of the paper is to introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators de fined via Boas-Buck type polynomials and to obtain rates of convergence for these operators. Furthermore, we give the figures for comparing approximation properties of the operators K-n((alpha,beta)) and B-n.