Karslı, HarunTiryaki, İsmail UğurAltın, Hüseyin Erhan2021-06-232021-06-2320160354-5180https://doi.org/10.2298/FIL1601141Khttps://hdl.handle.net/20.500.12491/9002In this article, we concern with the nonlinear Bernstein operators NBn f of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0 <= x <= 1, n is an element of N, acting on bounded functions on an interval [0, 1]; where P-n,P-k satisfy some suitable assumptions. As a continuation of the very recent paper of the authors [22], we estimate their pointwise convergence to a function f having derivatives of bounded (Jordan) variation on the interval [0, 1]. We note that our results are strict extensions of the classical ones, namely, the results dealing with the linear Bernstein polynomials.eninfo:eu-repo/semantics/closedAccessNonlinear Bernstein OperatorsBounded Variation(L - psi) Lipschitz ConditionPointwise ConvergenceOn convergence of certain nonlinear Bernstein operatorsArticle10.2298/FIL1601141K3011411552-s2.0-84966691955Q3WOS:000376533000015Q2