Approximation by a Kantorovich Variant of Szasz Operators Based on Brenke-Type Polynomials


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

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.13, no.5, pp.3327-3340, 2016 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.1007/s00009-016-0688-6
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3327-3340
  • Keywords: Approximation, bounded variation, Brenke-type polynomials, rate of convergence, total variation, BEZIER VARIANT, CONVERGENCE, RATES
  • Ankara University Affiliated: Yes

Abstract

In this paper, we estimate the rate of convergence on function of bounded variation for a Kantorovich variant of a generalization of Szasz operators involving Brenke-type polynomials by means of some methods and techniques of probability theory.