Karslı, Harun2024-09-252024-09-2520130420-12132391-4661https://hdl.handle.net/20.500.12491/13864In this paper, we establish some pointwise convergence results for a family of certain nonlinear singular integral operators T lambda f of the form (T lambda f) (x) =integral K-b(a)lambda(t - x, f(t))dt, x is an element of (a, b), acting on functions with bounded (Jordan) variation on an interval [a, b], as lambda -> lambda(o). Here, the kernels K = {K-lambda}(lambda is an element of Lambda) satisfy some suitable singularity assumptions. We remark that the present study is a continuation and extension of the study of pointwise approximation of the family of nonlinear singular integral operators (1) begun in [18].eninfo:eu-repo/semantics/openAccessNonlinear Singular IntegralBounded VariationLipschitz ConditionPointwise ConvergenceIntegral OperatorsArticle464729740WOS:000210133100007N/A