Karslı, Harun2021-06-232021-06-2320101672-4070https://doi.org/10.1007/s10496-010-0140-xhttps://hdl.handle.net/20.500.12491/4057https://link.springer.com/article/10.1007/s10496-010-0140-xIn the present paper we state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral operators of the form: In particular, we obtain the pointwise convergence and its rate at some characteristic points x0 of f as (x, ?) ? (x0, ?0) in L1 ? A,B ?, where ? a,b ? and ? A,B ? are is an arbitrary intervals in R, ? is a non-empty set of indices with a topology and ?0 an accumulation point of ? in this topology. The results of the present paper generalize several ones obtained previously in the papers [19]-[23]. © 2010 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.eninfo:eu-repo/semantics/closedAccessGeneralized Lebesgue PointLipschitz ConditionNonlinear Singular IntegralPointwise ConvergenceRate of ConvergenceArticle10.1007/s10496-010-0140-x2621401522-s2.0-77953633454N/A