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Polynomial interpolation of holomorphic functions based on Radon projections

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ABSTRACT 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… Click to show full abstract

ABSTRACT 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.

Keywords: based radon; polynomial interpolation; functions based; radon projections; holomorphic functions; interpolation

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020

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