Almali, Sevgi EsenUysal, GumrahMishra, Vishnu NarayanGuller, Ozge Ozalp2024-09-292024-09-2920171976-86052288-1433https://doi.org/10.11568/kjm.2017.25.4.483https://hdl.handle.net/20.500.14619/6384In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power non linearity given in the following form: T-lambda(f;x) = integral(b)(a) Sigma(n)(m=1) f(m)(t)K-lambda,K-m(x,t)dt, lambda epsilon Lambda, x epsilon (a, b), where A is an index set consisting of the non-negative real numbers, and n >= 1 is a finite natural number, at mu-generalized Lebesgue points of integrable function f epsilon L-1 (a, b). Here, f(m) denotes m - th power of the function f and (a, b) stands for arbitrary bounded interval in or I itself. We also handled the indicated problem under the assumption f epsilon L-1 (N)eninfo:eu-repo/semantics/closedAccessPointwise convergenceNonlinear integral operatorsmu-generalized Lebesgue pointArticle10.11568/kjm.2017.25.4.483494448325WOS:000419023400002N/A