Modified double Szász-Mirakjan operators preserving x2 + y2
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Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve fo (x, y) = 1 and f3 (x, y) = x2 + y2. We prove that this type of operators enables a better error estimation on the interval [0, ∞) × [0, ∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential properties for derivatives of these modified operators. Finally, we also study statistical convergence of the sequence of modified Szász-Mirakjan type operators. © 2010 Department of Mathematics, University of Osijek.
Açıklama
Anahtar Kelimeler
A-statistical convergence, Modulus of continuity, Szász-Mirakjan type operators, The korovkin-type approximation theorem
Kaynak
Mathematical Communications
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
15
Sayı
1
