Quantitative generalized Voronovskaja's formulae for Bernstein polynomials (Q1749039)

For the Bernstein polynomials, the authors have obtained accurate upper estimates for the even central moments evaluated at the midpoint of the interval \([0,1]\). With this, they derive the quantitative generalized Voronovskaja formula and non-uniform estimates. Improvements in Videnskiĭ type inequality are also made, in such a way that, the best possible constant satisfying the inequality cannot be strictly less than \(1/2\).