Approximation behaviour of the generalized kantorovich-type operators by multiple generating functions
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this study is to investigate approximation behaviour of the generalized Kantorovich-type operators by multiple generating functions. For this aim, firstly, we introduce bivariate generalization of Kantorovich-type operators and study their approximation behaviour with the help of a Korovkin type theorem. Secondly, we compute the rate of convergence of these operators by means of the modules of continuity and the elements of Lipschitz class. Also, we give the r - th order generalization of these operators. In the last part, we give some applications to the differential equations.
Açıklama
Anahtar Kelimeler
Kantorovich-type operators, Korovkin theorem, Modified lipschitz class, Modules of continuity
Kaynak
Advanced Studies in Contemporary Mathematics (Kyungshang)
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
21
Sayı
2
