Voronovskaya-type formulas and saturation of convergence for q -Bernstein polynomials for 0<q<10<q<1

In the paper, we discuss Voronovskaya-type theorem and saturation of convergence for q-Bernstein polynomials for arbitrary fixed q  , 00ε>0, then the rate of convergence for the q  -Bernstein polynomials is o(qn)o(qn) if and only if f is linear.