Arun Kajla, Tuncer Acar. Source: Annals of Functional Analysis, Volume 10, Number 4, 570--582.Abstract:
In the present note, following a new approach recently described by Khosravian-Arab, Dehghan, and Eslahchi, we construct a new kind of $\alpha $ -Bernstein operator and study a uniform convergence estimate for these operators. We also prove some direct results involving the asymptotic theorems. Finally, we illustrate the convergence of the operators to a certain function with the help of Maple software.