Abstract
We prove that Kergin interpolation polynomials and Hakopian interpolation polynomials at the points of a Leja sequence for the unit disk D of a sufficiently smooth function f in a neighbourhood of D converge uniformly to f on D. Moreover, when f∊C∞(D), all the derivatives of the interpolation polynomials converge uniformly to the corresponding derivatives of f.
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| Acta Mathematica Hungarica | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1950 |
| Volumes per Year |
3 |
| Issues per Year |
6 |
| Founder | Magyar Tudományos Akadémia  |
| Founder's Address |
H-1051 Budapest, Hungary, Széchenyi István tér 9. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
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| ISSN | 0236-5294 (Print) |
| ISSN | 1588-2632 (Online) |
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