The q-derivative and applications to q-Szasz Mirakyan operators
Yükleniyor...
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
By using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these operators converge to q-derivatives of approximated functions. Futhermore, we give a Voronovskaya-type theorem for monomials and provide a Stancu-type form for the remainder of the q-Szasz Mirakyan operator. Lastly, we give an inequality for a convex function f, involving a connection between two nonconsecutive terms of a sequence of q-Szasz Mirakyan operators.
Açıklama
Gupta, Vijay/0000-0002-5768-5763
Anahtar Kelimeler
Kaynak
Calcolo
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
43
Sayı
3
Künye
closedAccess
