Note on the Convergence of Approximating Rational Functions of Prescribed Type
โ Scribed by J. L. Walsh
- Book ID
- 123657443
- Publisher
- National Academy of Sciences
- Year
- 1963
- Tongue
- English
- Weight
- 511 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/71921
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha