A generalization of Szasz-Mirakyan operators based on q-integers
Yükleniyor...
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical Szasz-Mirakyan operators while retaining their approximation properties. For these operators, we give a Voronovskaya-type theorem related to q-derivatives. Furthermore, we obtain convergence properties for functions belonging to particular subspaces of C [0, infinity) and give some representation formulas of q-Szasz-Mirakyan operators and their rth q-derivatives. (c) 2007 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
q-Szasz-Mirakyan operators, divided difference, q-exponential functions, q-derivatives
Kaynak
Mathematical And Computer Modelling
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
47
Sayı
9-10
Künye
closedAccess
