On approximation properties of non-convolution type nonlinear integral operators
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral operators of the form: In particular, we obtain the pointwise convergence and its rate at some characteristic points x0 of f as (x, ?) ? (x0, ?0) in L1 ? A,B ?, where ? a,b ? and ? A,B ? are is an arbitrary intervals in R, ? is a non-empty set of indices with a topology and ?0 an accumulation point of ? in this topology. The results of the present paper generalize several ones obtained previously in the papers [19]-[23]. © 2010 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.
Açıklama
Anahtar Kelimeler
Generalized Lebesgue Point, Lipschitz Condition, Nonlinear Singular Integral, Pointwise Convergence, Rate of Convergence
Kaynak
Analysis in Theory and Applications
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
26
Sayı
2
