Uniform Polynomial Approximation of Analytic Functions on a Quasidisk
โ Scribed by V. Andrievskii
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 333 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
We consider the distribution of alternation points in best real polynomial approximation of a function f # C[&1, 1]. For entire functions f we look for structural properties of f that will imply asymptotic equidistribution of the corresponding alternation points.
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