On barycentric interpolation. III.
(On convergent type processes)

Abstract. We define some processes for barycentric interpolation based on equidistant
node-system which is convergent for any continuous function. As far as we know this is the first process of this type. We also prove an upper estimate for the rate of convergence. It turns out that the results are very similar to the ones known for the process obtained Bernstein from the classical Lagrange interpolation.