Resumen de Voronovskaya-type formulas and saturation of convergence for q-Bernstein polynomials for 0<q<1

Heping Wang

• In the paper, we discuss Voronovskaya-type theorem and saturation of convergence for q-Bernstein polynomials for arbitrary fixed q, 0

  We also prove that if f is convex on [0,1] or analytic on (-e,1+e) for some e>0, then the rate of convergence for the q-Bernstein polynomials is o(qn) if and only if f is linear.