Power series of the operators $U_n^{\varrho}$
  We study power series of members of a class of positive linear operators reproducing linear function and constituting a link between genuine Bernstein-Durrmeyer and classical Bernstein operators. Using the eigenstructure of the operators we give a non-quantitative convergence result towards the inverse Voronovskaya operators. We include a quantitative statement via a smoothing approach. 
Heiner Gonska, Ioan Ra\c{s}a and Elena Dorina St\u{a}nil\u{a}
math.CA