On integral type generalizations of positive linear operators

Duman O., Oezarslan M. A., Dogru O.

STUDIA MATHEMATICA, cilt.174, sa.1, ss.1-12, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.4064/sm174-1-1
  • Dergi Adı: STUDIA MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-12
  • Gazi Üniversitesi Adresli: Hayır

Özet

We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.