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

Cilt

Sayı

Künye