Polynomial interpolation of holomorphic functions based on Radon projections
https://doi.org/10.1080/17476933.2020.1755968Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
We study polynomial interpolation of Hermite type of holomorphic functions based on Radon projections. We give two kinds of interpolation schemes and show that the interpolation polynomials are continuous with respect to the angles and the distances. When the chords are suitably distributed, we prove that the interpolation polynomials converge geometrically on the closed unit disk to the functions.
Tags: Polynomial interpolation, radon projections, holomorphic functions
Các bài viết liên quan đến tác giả Phùng Văn Mạnh
Some results on the relation between pluripolarity of graphs and holomorphicity
On the smoothness of certain composite functions
Hermite interpolation with symmetric polynomials
Product properties in weighted pluripotential theory
On generalized least square approximation
Polynomial Interpolation on the Unit Sphere and Some Properties of Its Integral Means
Complete pluripolar graphs in C^N
Polynomial interpolation of holomorphic functions based on Radon projections
Harmonic interpolation of Hermite type based on Radon projections with constant distances