On the convergence of the rational interpolation approximant of Carathéodory functions
✍ Scribed by K. Pan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 390 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0377-0427
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This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation converges if all eigenvalue moduli of a certain r\_r
## Abstract We consider an interpolation problem of Nevanlinna–Pick type for matrix‐valued Carathéodory functions, where the values of the functions and its derivatives up to certain orders are given at finitely many points of the open unit disk. For the non‐degenerate case, i.e., in the particular