A study on pointwise approximation by double singular integral operators
Küçük Resim Yok
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springeropen
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present work we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lx(f;x,y) = integral integral(D)f(t,s)H-lambda(t-x,s-y)dt ds, (x,y) is an element of D, where D = < a, b > x < c,d > is an arbitrary closed, semi-closed or open region in R-2 and lambda is an element of Lambda, Lambda is a set of non-negative numbers with accumulation point lambda(0). Also we provide an example to justify the theoretical results. MSC: Primary 41A35; secondary 41A25
Açıklama
Anahtar Kelimeler
mu-generalized Lebesgue point, radial kernel, rate of convergence, bimonotonicity, bounded bivariation
Kaynak
Journal of Inequalities and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
