Uysal, GumrahSerenbay, Sevilay Kirci2019-06-202019-06-2020162261-236Xhttps://www.matec-conferences.org/articles/matecconf/pdf/2016/31/matecconf_iciea2016_16002.pdfhttp://hdl.handle.net/11727/3642In this paper we present some theorems concerning existence and Fatou type weighted pointwise convergence of nonlinear singular integral operators of the form: (T(lambda)f)(x) =integral K-R(lambda)(t-x; f(t))dt, x is an element of R, lambda is an element of Lambda where Lambda not equal empty set is a set of non-negative indices, at a common generalized Lebesgue point of the functions f is an element of L-1,L-empty set (R) and positive weight function empty set. Here, L-1,L-empty set(R) is the space of all measurable functions for which vertical bar f/empty set vertical bar is integrable on R.enginfo:eu-repo/semantics/openAccessconferenceObject680003877318000802-s2.0-84982106451