On the rates of convergence of the q-Lupaş-Stancu operators
Filomat, cilt.30, sa.5, ss.1151-1160, 2016 (SCI-Expanded, Scopus)
- 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.