Approximation of functions of two variables by certain linear positive operators
Yükleniyor...
Tarih
2007
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.
Açıklama
Bascanbaz-Tunca, Gulen/0000-0003-3216-1661;
Anahtar Kelimeler
linear positive operator, modulus of continuity, order of approximation, polynomial weighted spaces
Kaynak
Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
117
Sayı
3
Künye
closedAccess