Convergence of Hermite and Hermite–Fejér Interpolation of Higher Order for Freud Weights
✍ Scribed by S.B. Damelin; H.S. Jung; K.H. Kwon
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 212 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Necessary conditions of normal pointsystems for Hermite-Fejér interpolation of arbitrary (even) order are given. In particular, one of the main results in this paper is: If a pointsystem consists of the zeros of orthogonal polynomials with respect to a weight w on [-1, 1] and is always normal for He
## Abstract In this paper we investigate the approximation behaviour of the so‐called Hermite–Fejér interpolation operator based on the zeros of Jacobi polynomials. As a result we obtain the asymptotic formula of approximation rate for these operators. Moreover, such a formula is valid for any indi