Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

Due to the fact that the convergence properties of q-Bernstein polynomials are not similar to those in the classical case q = 1, their study has become an area of intensive research with a wide scope ...

We establish a new quantitative variant of Floater's theorem dealing with the generalization of Voronovskaja's theorem for Bernstein polynomials. Our estimate improves the recent quantitative version ...