Asymptotic behavior of interpolation polynomials of harmonic functions based on radon projections

Asymptotic behavior of interpolation polynomials of harmonic functions based on radon projections

We study the asymptotic behavior of harmonic interpolation of harmonic functions based on Radon projections when the chords coalesce to some points, a chord and a point. We show that the limit is the Lagrange or Taylor-type interpolation at coalescing points or chords.

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Veröffentlicht in:Calcolo 2017-09, Vol.54 (3), p.881-902
1. Verfasser: Van Manh, Phung
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
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Beschreibung
Zusammenfassung:We study the asymptotic behavior of harmonic interpolation of harmonic functions based on Radon projections when the chords coalesce to some points, a chord and a point. We show that the limit is the Lagrange or Taylor-type interpolation at coalescing points or chords.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-017-0212-9