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
β¦ LIBER β¦
On Polynomial Approximation of Square Integrable Functions on a Subarc of the Unit Circle
β Scribed by Li-Chien Shen
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 105 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0021-9045
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We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and