On the rates of convergence of the q-Lupaş-Stancu operators

DOĞRU O., Íçöz G., Kanat K.

Filomat, cilt.30, sa.5, ss.1151-1160, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1605151d
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1151-1160
  • Anahtar Kelimeler: Lupas¸ operator, Q-analogue, Stancu type generalization
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

© 2016, University of Nis. All rights reserved.We introduce a Stancu type generalization of the Lupas operators based on the q-integers, rate of convergence of this modification are obtained by means of the modulus of continuity, Lipschitz class functions and Peetre’s K-functional. We will also introduce r-th order generalization of these operators and obtain its statistical approximation properties.