Abant İzzet Baysal Üniversitesi Bolu - Düzce Matematik Seminerleri
On Convergence of a Kınd of Complex Nonlınear Bernsteın Operators
Esra Ünal
Abant İzzet Baysal Üniversitesi, Türkiye
In this work we deal with the approximation properties with nonlinear complex Bernstein operators attached to analytic functions on compact disks. We give convergence theorem for nonlinear Bernstein operators of the form
$(NB_nf)(z) = \sum_{k=0}^n P_{k,n}(z, f(\frac{k}{n})),\;\; |z|<1$
where $f : G \to \mathbb{C} $ is analytic in $G\subseteq\mathbb{C}$
