Continuity and convergence properties of integral means of Bojanov-Xu interpolation (Q1656235)

Summary: We study Bojanov-Xu interpolation whose interpolation points are located on concentric circles in \(\mathbb{R}^2\). We prove that the integral means of the interpolation polynomial over a fixed circle or a fixed annulus are continuous functions of the radii of circles. We also give a distribution of the radii such that the integral means are convergent.