Rate of convergence of Chlodowsky type Durrmeyer Operators

Ibikli E., Karsli H.

Journal of Inequalities in Pure and Applied Mathematics, vol.6, no.4, pp.1-12, 2005 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 4
  • Publication Date: 2005
  • Journal Name: Journal of Inequalities in Pure and Applied Mathematics
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.1-12
  • Keywords: Approximation, Bounded variation, Chanturiya's modulus of variation, Chlodowsky polynomials, Durrmeyer Operators, Rate of convergence
  • Ankara University Affiliated: Yes

Abstract

In the present paper, we estimate the rate of pointwise convergence of the Chlodowsky type Durrmeyer Operators Dn(f, x) for functions, defined on the interval [0, bn], (bn → ∞), extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory. © 2005 Victoria University. All rights reserved.