Harmonic interpolation of Hermite type based on Radon projections with constant distances

Authors: Phùng Văn Mạnh, Tăng Văn Long,

https://doi.org/10.1080/00036811.2018.1478080

Publisher, magazine: ,

Publication year: 2019

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Abstract

We study harmonic interpolation of Hermite type of harmonic functions based on Radon projections with constant distances of chords. We show that the interpolation polynomials are continuous with respect to the angles and the distances. When the chords coalesce to some points on the unit circle, we prove that the interpolation polynomials tend to a Hermite interpolation polynomial at the coalescing points.

Tags: Polynomial interpolation, Radon projections, harmonic polynomials