Uysal, GumrahYilmaz, Mine MenekseIbikli, Ertan2024-09-292024-09-2920151029-242Xhttps://doi.org/10.1186/s13660-015-0615-6https://hdl.handle.net/20.500.14619/6545In 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 41A25eninfo:eu-repo/semantics/openAccessmu-generalized Lebesgue pointradial kernelrate of convergencebimonotonicitybounded bivariationArticle10.1186/s13660-015-0615-62-s2.0-84924368176Q2WOS:000350678800005Q2