Statistical approximation properties of King-type modification of Lupas operators

DOĞRU, OGÜN; Kanat, Kadir

doi:10.1016/j.camwa.2011.12.033

Statistical approximation properties of King-type modification of Lupas operators

Atıf İçin Kopyala

DOĞRU O., Kanat K.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, sa.4, ss.511-517, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 64 Sayı: 4
Basım Tarihi: 2012
Doi Numarası: 10.1016/j.camwa.2011.12.033
Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.511-517
Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, introducing a King type modification of the Lupas operators, the rates of statistical convergence of this modification are studied by means of the modulus of continuity and Lipschitz class functional. We also prove that, on some subintervals of [0,1], the error estimation of these operators is better than the classical q-Bernstein operators. (C) 2011 Elsevier Ltd. All rights reserved.