Uysal, GumrahYilmaz, Mine M.Ibikli, Ertan2024-09-292024-09-2920172307-41082307-4116https://hdl.handle.net/20.500.14619/8577In this paper, we present some theorems on pointwise convergence and the rate of pointwise convergence for the family of nonlinear bivariate singular integral operators of the following form: T(lambda()f;x,y) = integral integral(D) K-lambda (t-x,s-yf(t,s))dsdt, (x,y)is an element of D, lambda is an element of Lambda where f is a real valued and integrable function on a bounded arbitrary closed, semi-closed or open region D = x in R-2 or D = R-2 and Lambda is the set of non-negative indices with accumulation point lambda(0)eninfo:eu-repo/semantics/closedAccessLipschitz conditionpointwise convergencerate of convergencenonlinear bivariate integral operatorgeneralized Lebesgue pointArticle5724644WOS:000410424500005Q3