Hermite-Fejér interpolation with non-uniform nodes on the unit circle

This research paper examines Hermite-Fej?r interpolation on the unit circle with non-uniformly distributed nodes. The authors make two main contributions: they provide an explicit formula for the interpolatory polynomial and prove a mean convergence of it is studied for analytic function within the unit disk. These findings advance our understanding of this interpolation method for irregularly spaced data points in circular domain.