Altın, Hüseyin Ertan2024-05-272024-05-272023Altin, H. E. (2023). Some convergence results for nonlinear Baskakov-Durrmeyer operators. Carpathian Mathematical Publications, 15(1), 95-103.2075-98272313-0210http://dx.doi.org/10.15330/cmp.15.1.95-103https://hdl.handle.net/20.500.12491/12169This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators (NBDn) of the form (NBDn) (f; x) =integral(infinity)(0) K-n(x, t, f (t)) dt with x is an element of [0, infinity) and n is an element of N. While Kn(x, t, u) provide convenient assumptions, these operators work on bounded functions, which are defined on all finite subintervals of [0, infinity). This paper comprise some pointwise convergence results for these operators in certain functional spaces. As well as this study can be seen as a continuation of studies about nonlinear operators, it is the first study on nonlinear Baskakov-Durrmeyer or modified Baskakov operators, while there were more papers on linear part of the operators.eninfo:eu-repo/semantics/openAccessBounded VariationNonlinear Operator(L - Psi) Lipschitz ConditionPointwise ConvergenceArticle10.15330/cmp.15.1.95-103151951032-s2.0-85163577453Q2WOS:001025754700004Q1