Rate of convergence of nonlinear integral operators for functions of bounded variation
Küçük Resim Yok
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to study the behavior of the operators T(lambda) defined by T(lambda)(f;x) = (a)integral(b)K(lambda)(t-x,f(t))dt, x epsilon < a,b >. Here we estimate the rate of convergence at a point x, which has a discontinuity of the first kind as lambda -> lambda(0). This study is an extension of the papers [9] and [13], which includes Bernstein operators, Beta operators, Picard operators, Philips operators, Durrmeyer operators, etc. as special cases.
Açıklama
Anahtar Kelimeler
Rate of Convergence, Nonlinear Integral Operator, Locally Compact Abelian Group, Haar Integral, Bounded Variation
Kaynak
Calcolo
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
45
Sayı
2
