Some theorems on the approximation of non-integrable functions via singular integral operators
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Jangjeon Research Institute for Mathematical Sciences and Physics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we study the pointwise approximation of functions which are non-integrable on D =< -?,? > x < -?,? > where ?-?,?? x ?-?,?? is a closed, semi-closed or open region, by double singular integral operators with radial kernels of the form: L?= (f;x,y)= ?Df (s,t)K?(?(s - x)2+(t - y)2)dsdtat generalized Lebesgue point. Also we investigate the rate of convergence of the operators L?(f;x,y) at this point. © 2015, Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
Açıklama
Anahtar Kelimeler
Double integral operator, Generalized Lebesgue point, Radial weight function
Kaynak
Proceedings of the Jangjeon Mathematical Society
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
18
Sayı
2
