On Approximation Properties of a Stancu Generalization of Szasz-Mirakyan-Bernstein Operators

摘要

In this paper, we have introduced a Stancu generalization of the Szasz–Mirakyan–Bernstein Operators defined on the space of continuous functions defined on a compact interval. We have given a general formula for the moments of that operators. We have used Korovkin’s Theorem for uniform approximation under some restrictions. We have obtained some results for the approximation rates in terms of modulus of continuity. Finally, we gave some Voronovskaya-type theorems.