Generalized Szász Durrmeyer operators
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Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce and study a new sequence of positive linear operators acting on the spaces of continuous function on positive semi-axis. These operators are defined by means of the q-integral, which generalize the Szász Durrmeyer operators. We study their approximation property by presenting a direct approximation theorem on polynomial weighted spaces and the rate of convergence by means of weighted modulus of continuity. Also, we establish an asymptotic formula with respect to weighted norm. © 2011 Pleiades Publishing, Ltd.
Açıklama
Anahtar Kelimeler
modulus of continuity, q-Gamma function, q-integers, q-Szász-Durrmeyer operators
Kaynak
Lobachevskii Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
32
Sayı
1
