Rate of convergence of Chlodowsky type Durrmeyer Operators


Ibikli E., Karsli H.

Journal of Inequalities in Pure and Applied Mathematics, cilt.6, sa.4, ss.1-12, 2005 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 4
  • Basım Tarihi: 2005
  • Dergi Adı: Journal of Inequalities in Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Approximation, Bounded variation, Chanturiya's modulus of variation, Chlodowsky polynomials, Durrmeyer Operators, Rate of convergence
  • Ankara Üniversitesi Adresli: Evet

Özet

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.