On statistical approximation properties of Kantorovich type q-Bernstein operators

Dalmanoglu, Oezge; Dogru, Oguen

doi:10.1016/j.mcm.2010.05.005

On statistical approximation properties of Kantorovich type q-Bernstein operators

Atıf İçin Kopyala

Dalmanoglu O., Dogru O.

MATHEMATICAL AND COMPUTER MODELLING, cilt.52, ss.760-771, 2010 (SCI İndekslerine Giren Dergi)

Cilt numarası: 52
Basım Tarihi: 2010
Doi Numarası: 10.1016/j.mcm.2010.05.005
Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
Sayfa Sayıları: ss.760-771

Özet

In this study a new Kantorovich type generalization of q-Bernstein operators is introduced with the help of some recent studies on q-calculus. Then the statistical Korovkin type approximation properties of these operators are investigated. Finally, the order of statistical approximation is examined by means of modulus of continuity and with the help of the elements of Lipschitz class. (C) 2010 Elsevier Ltd. All rights reserved.